![]() A multi-billion recreation industry including whitewater rafting, boating, fishing, camping, and hiking.Water used to produce about 15% of the produce and livestock in the US.Water for more than 30 million people in seven US states and Mexico.Electricity (from hydroelectric plants at major dams).The river supplies the following resources and activities enjoyed by 15 million people a year: Originally a wild and untamed river, manmade dams, dikes, and canals were constructed over time to control manage it. The river stretches 1,450 miles from the Rocky Mountains to the Gulf of California in Mexico. To begin your tree-ring science expedition to the Colorado River Basin, you will investigate its physical characteristics and learn how the water is used and apportioned by those who live there. Specifically, California’s Colorado River Board mentioned bolstered collaboration to stabilize the Salton Sea in Southern California that has been shrinking due to other conservation efforts.Part 1: Straws in the Colorado River: Will We Run Out of Water? The current guidelines, set in 2007, were placed to provide certainty to water users about timing and amounts of potential water delivery reductions in the face of required conservation measures.Ĭalifornia said that to meet conservation guidelines, it will need federal funding and support for cross-state coordination. California claimed the other states’ proposal interfered with the current agreement, overstepped on its senior water rights and did not offer a resolution for cutbacks imposed on its residents. The state said this method would protect reservoir levels while prioritizing human health and safety. An acre-foot is about what two average houses use in a year. ![]() The Colorado River, home to the massive Hoover and Glen Canyon dams, supports 40 million people, almost 6 million acres of agriculture and tribal communities across seven states and portions of Mexico, according to California’s Colorado River Board.Ĭalifornia countered with a plan that would put a greater burden of cuts on Arizona while it pledged to conserve up to another 400,000 acre-feet of water a year. While the Colorado River’s supply mainly serves Southern California, repercussions could eventually echo up and down the state. Most politicians and officials agree drought and overuse have resulted in such low water levels that action must be taken, but it is also possible that a proposal that is not on the table now comes through. The question federal and state officials are weighing is: How much will they each need to cut?Ĭalifornia, the largest beneficiary of the river’s supply, would face starkly different changes based on which proposal is selected. The Arizona Republic/USA Today Network WASHINGTONĭespite a wet winter, California and other western states will still need to cut back how much water they draw from the Colorado River. A bathtub ring is visible on the shoreline because of low water levels. Virgin Canyon in the Lake Mead National Recreation Area, on the Arizona-Nevada border in 2021.
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![]() VirtualBox Guest Additions Download & VirtualBox 7.0.Windows Support: Microsoft Windows 11, Windows 10, Windows 8, Windows 8.1, Windows 7. ![]() VueScan 32-bit/ 64-bit System Requirements Works on Flatbed, Document, and Film/Slide Scanner.In conclusion, it’s the most used HP, Epson, Samsung, Panasonic, and canon scanner software. But later you can use the software in a permanent way with some money. You can use it for free for one year if you want. Again the professional version has unlimited free upgrades. This version of the software has a free upgrade for one year. Those Pro users can switch to the ‘Standard’ or ‘Professional’ options to unlock powerful features to have full control over their scans. Moreover, newcomers just need to run the app and press the ‘scan’ button. The VueScan tool is designed to be used by two completely different types of users. You can recognize text using OCR.īut it uses both flatbed scanners and scanners with automatic document feeders and can create multiple-page PDFs. ![]() With this software, you can use the output of scanned documents, photos, and films in PDF, JPEG, and TIFF formats. Follow the direct download link and instructions. VueScan Supported ScannersĪcer/BenQ Scanner Drivers, Agfa Scanner Drivers, Apple Scanner Drivers, Avision Scanner Drivers, Braun Phototechnik Scanner Drivers, Brother Scanner Drivers, Canon Scanner Drivers, Dell Scanner Drivers, Epson Scanner Drivers, Fujitsu Scanner Drivers, Gestetner Scanner Drivers, Heidelberg Scanner Drivers, HP Scanner Drivers, infotec Scanner Drivers, Kodak Scanner Drivers, Kyocera Scanner Drivers, LaCie Scanner Drivers, Lanier Scanner Drivers, Lexmark Scanner Drivers, MediaX Scanner Drivers, Medion Scanner Drivers, Microtek Scanner Drivers, Minolta Scanner Drivers, Mitsubishi Scanner Drivers, Mustek Scanner Drivers, Nikon Scanner Drivers, NRG Scanner Drivers, OKI Scanner Drivers, PIE Scanner Drivers, Panasonic Scanner Drivers, Pentax Scanner Drivers, Plustek Scanner Drivers, Polaroid Scanner Drivers, Reflecta Scanner Drivers, Ricoh Scanner Drivers, Samsung Scanner Drivers, Savin Scanner Drivers, SmartDisk Scanner Drivers, Syscan Scanner Drivers, UMAX Scanner Drivers, Visioneer Scanner Drivers, and Xerox Scanner Drivers. This article shows you how to download and install the full version of VueScan Pro v9.7.95 for free on PC. So you can also check this list of supported scanners. If you want, you can download the best way to see if the scanner works. Support Over 6550 Scannersįirstly , This application is compatible with over 6550 different scanners from 42 manufacturers. Instantly get a serial number that disables the image watercolour. Moreover, you can purchase this tool at any time. It changes nothing on your system and installs nothing in your operating system.īut all other scanner software will continue to function. However, VueScan full version helps your hardware get a better scan and longer life.
![]() So a phone number based in The Philippines can be active in The Philippines, Saudi Arabia, and Qatar. Top Countries shows the countries to which the specific phone number makes the most calls. In the image above, you can see that 14% of the 1271 calls made by the phone number were picked up by the user. Search snapchat, facebook, okcupid, instagram usernames and much more. A simple reverse phone number lookup may find something, but to see the real data, you have to dig deeper and utilize more than just one reverse number lookup tool. Pick-up rate shows (in percentage form) how many times a call by the specific phone number has been picked up vs how many calls it made in the last 60 days. Run a reverse username lookup to find out who is behind that social media profile. In the first picture, times for a swimming. ![]() Look-ups shows how many times the phone number has been searched by Truecaller users in the app and on our website in the previous 2 months. You can format, analyze, and lookup (in this example, reverse VLOOKUP with CHOOSE) times measured in milliseconds. Spam Reports showcases how many times Truecaller users marked the specific number as a spam caller and will also indicate by percentage if this is increasing or decreasing in the last 60 days. Calls Made is a count of how many times this phone number called a Truecaller user in the last 60 days. The database is constantly updated and has one of the best success rates for reverse image lookups. We believe these are the most important indicators to allow you to determine how risky the number is. TinEye TinEye is a powerful web crawler that specializes in image searching. These statistics showcase six important trends about the person who called you from this phone number: Calls Made, Spam Reports, Look-ups, Pick-up Rate, Top Countries, and Peak Calling Hours. ![]() When you search for a phone number in our free reverse phone lookup tool, you will see Spam Statistics in the results. If this should not be the case, don't hesitate to contact the school's main office to correct the record(s) if the student is unable to be viewed. Parents/guardians with multiple students each account will allow parents/guardians access to their student's information on the portal. With the login credentials, the parent/guardian is ready to access the OnCourse Connect portal! The associated email address is the email you provided during registration. Reduce your healthcare organizations variation in care through personalized learning, performance metrics, and assessments. Parents/guardians who are new to our district, or returning parents/guardians who have forgotten their OnCourse Connect portal username or password, can receive their username and reset their password by entering the associated email address. ![]() NOTE: The portal may display last year's academic information until schedules are published. If a returning parent/guardian cannot recall the username and/or password, please follow the instructions in the New Parents/Guardians section below. Parents/guardians who know their OnCourse Connect portal account information, please use the following link to access the OnCourse Connect portal. OnCourse Parent/Student Portal Quick Link (login information required) Please note: To establish an account, OnCourse uses the information you have provided while registering your student(s) - reach your child's school to verify registration data if you experience any difficulty. You will only register for and access the OnCourse Systems for Education Web Sites as a student registrant, and not as a teacher, parent, or any other category of user. If you are new to our district and have not received your OnCourse Connect Portal information, the NEW Parents/Guardians section below will help establish a parent OnCourse Connect account. Below are helpful links and a short video to help guide you through the features and capabilities of this resource. Our Student Information System portal, OnCourse Connect, is now active for the 2022 - 2023 school year. Human Resources/Professional Development/Affirmative Action.Through this platform students can communicate and schedule appointments with their advisor, as well as review their advising notes and class information. B & A School Program Online Registration Information OnCourse is the authorized student academic success platform used by students, faculty, and staff at The Ohio State University. 8 Rigdon’s own assessment of the Spaulding theory was both direct and forceful. 7 Emma Smith, the Prophet’s wife, declared that “no acquaintance was formed between Sidney Rigdon and the Smith family till after the Church was organized” and the Book of Mormon had already been published. Pratt personally gave him one after 15 October 1830. In creating his conjecture Philastus Hurlbut ignored the fact that Sidney Rigdon never even saw a copy of the Book of Mormon until Parley P. ![]() There are several other compelling reasons for relinquishing the Spaulding theory. ![]() When Rice, Fairchild, and several others compared the Spaulding manuscript with the Book of Mormon they “could detect no resemblance between the two, in general or detail.” Fairchild concluded that “the theory of the origin of the Book of Mormon in the traditional manuscript of Solomon Spaulding will probably have to be relinquished.” 6 Rice discovered the document in 1884 while searching through his collection of papers at the request of Oberlin College president James H. Rice bought the contents of Howe’s printing establishment in 1839 he unknowingly acquired the Spaulding manuscript and eventually transported it to Honolulu, Hawaii. But when Hurlbut made a closer examination of the Spaulding manuscript he did not find the parallels to the Book of Mormon that he had hoped for 4 and so he asserted that there must have been another manuscript written by Spaulding that was now “lost.” 5 Howe’s print shop in Painesville, Ohio-with a promise to the widow of future publication and a share in the profits. Philastus Hurlbut paid a visit to Spaulding’s widow and after being shown her husband’s unpublished document he took it with him to Eber D. This theory claimed that Sidney Rigdon wrote the religious parts of the Book of Mormon while the historical parts were plagiarized from an unpublished manuscript written in 1812 by Solomon Spaulding–Rigdon having secretly acquired the Spaulding document from a Pittsburgh printer named Jonathan H. 2 This theory postulated that Joseph Smith was too illiterate to have produced the Book of Mormon by himself and therefore must have received some assistance. 1īut in 1834 a new theory for the origin of the Book of Mormon was proposed by a man named Philastus Hurlbut. Brown) When the Book of Mormon was first published in March of 1830 its detractors believed that it did not have a divine origin as claimed, but was an impious fraud perpetrated solely by the Prophet Joseph Smith (who was listed on the title page of the book-in accordance with federal copyright law-as the “author and proprietor”). I know this has been refuted before, but can you help me understand this issue and get to the bottom of it?Ī. (by Matthew B. Q. I have heard that Joseph Smith plagiarized the writings of Solomon Spaulding to produce the Book of Mormon. ![]() Wire size is 13AWG and is braided for shielding. From the Hudson Audio website, the Audiopath cables are "pure silver cable made from a combination of eight strands of 99.9999% silver. To complete the RMAF setup and to set right some serious cable oversight, we have the Audiopath silver cables connecting up the works. Sonically identical according to Vinnie, the SB3 sports some greatly enhanced visuals.Īudiopath silver cables from Hudson Audio Vinnie recently announced the availability of his SqueezeBox 3 mod. ![]() The SB2 auto-detects your network and you just enter some details, like your wireless network encryption key -which you should use so you're not that kind of neighborhood hot spot - and off you go. Connecting up the SB2 and getting it to see my iTunes library was very easy. This was important since my PC lives in my listening room. Ambient room/house/outside noise is noisier than the 'puter. The Antec Sonata case is fully lined with sound damping material and the fan is truly whisper quiet. I will say that I own a "quiet PC" which means I spent some time and money to get it nearly silent. what software did I use to copy CDs to hard disk (iTunes 4.8.0.32) what formatting did I use (Apple Lossless with error correction on) what CD burner do I have (an internal piece of crap that came with my PC) what hard-drive type (external Western Digital 160GB) what interface for controlling the SB2 (Slim Server 6.2). There's so much more to tell about the setup of a wireless music serving device, i.e. ![]() The SB2 also sports a full function remote and a "built-in 40-step volume control (performed digitally before the internal DAC)". Recharge times for the SB2 are "2 hours of use = approx. Vinnie's mods for the SB are extensive and include making it run off an SLA battery, replacing the stock DAC with an upgraded Burr Brown PCM1748KE, Auricaps and various other changes. I opted for the wireless route since I already have a wireless router and network installed. In brief, the SB2 is a wired and/or wireless music server that connects the music files on your computer's hard drive to your HiFi. The Red Wine Squeeze Box 2 is Vinnie's mod of the Slim Devices device of the same device - er, name. This review page is supported in part by the sponsor whose ad is displayed above ![]() In total, I’ve tried 20+ such apps and you can find my detailed findings in this review. Out of curiosity, I decided to test those popular Mac cleaners and see how they’d perform. If you read their product pages, you’ll notice some marketing hypes and myths that are way off the line, you can read the “Common Misconceptions about Mac Cleaning” section below to learn more. Many merchants position their products to be a Mac “speed-up” tool instead of a cleaning tool which is supposed to be the true core feature of their products. After using a few of them, I found something interesting. One of the problems I had to deal with my MacBook is that sometimes the hard drive filled up quickly, and I had to transfer important files to an external drive, clean up unnecessary files, remove duplicate items, etc., I’m sure you can resonate with me on this if you’ve used your Mac for some time.ĭuring the process, I got to know some third-party Mac cleaning apps. I love exploring all kinds of software and apps and figuring out what they have to offer to improve my productivity. Previously I had a mid-2012 MacBook Pro and now I use a 15-inch MacBook Pro (2017 model). Why Trust Me for This Review?įirst off – I’ve been using Mac computers for 10 years. You can’t rely on a third-party app to boost the performance of your computer, it’s just unrealistic. It’s also common knowledge that whether a computer runs fast or slow largely depends on its hardware configuration and the software programs it’s processing. At least I don’t see such benchmark tests as of this writing. There is no convincing evidence that a Mac with more available storage will be faster than one with less available storage. Remember, a Mac cleaner app will (probably) not make your Mac faster. Plus, it’s much quieter thanks to the new SSD. After the upgrade, it only took ten seconds or so. Initially, my MacBook needed at least 30 seconds to fully start up. You’d be better off simply upgrading your Mac.Ĭase in point: I had a mid-2012 MacBook Pro and I managed to replace the internal HDD (a Hitachi hard disk drive) with a new solid-state drive from Crucial, and the performance boost absolutely blew my mind. On the other hand, you probably won’t benefit from a Mac cleaner app if you are using an old Mac that is running super slow, keeps freezing now and then, or has other performance issues. Or you are a power Mac user who knows how to clean your Mac manually, but it’s not worth your time. You are relatively new to Mac or are not so comfortable with navigating macOS to manually check and remove unneeded files.Your Mac machine is running out of disk space, especially when you get this “your disk is almost full” warning.Therefore, you can consider using a cleaning app in the following situations: ![]() In my opinion, the main value proposition of a Mac cleaning app is to help you reclaim more storage on your Mac while spending less time achieving it in the process. For those who are not into tech, Mac cleaner software can save you some time or hassles cleaning your Mac. If you are a power Mac user, you probably don’t need it. If your Mac is relatively new, you don’t need it. There are also a few apps that you should absolutely avoid because they either don’t work as they claim or are not compatible with macOS Monterey.If you are looking for a free Mac cleaner, try CCleaner Free. CleanMyMac X is the best paid Mac cleaner for most people.You don’t need a third-party cleaner app, macOS’ built-in cleaner is good enough to identify large files and by deleting them you can re-gain a decent amount of disk space.In fact, some apps can actually slow down your Mac while running. The main benefit of a Mac cleaner is to free up disk space, they will (probably) not make your Mac run faster.Best Mac Cleaning Software: The Winners.How We Picked and Tested These Mac Cleaners.Common Misconceptions about Mac Cleaning. ![]() A boy gives a mouse a cookie… which makes the mouse want a glass of milk… which makes him want a straw, then a mirror, and so on until he’s right back where he started with another cookie. “One thing leads to another” has never been more true. If You Give a Mouse a Cookie by Laura Numeroff and Felicia Bond This tale of ultimate wish fulfillment will no doubt resonate with both inventive kids and their Extreme Home Makeover-loving parents.Ħ. If you could build your dream home, what would you put in it? Our narrator, Jack, has it all planned out, including - but not limited to - a flying room, a racing room, and an aquarium room. But with his artistic talents and a little imagination, he’s about to turn his world into a masterpiece worthy of Van Gogh.ĥ. Harold and the Purple Crayon by Crockett Johnsonįour-year-old Harold has a purple crayon and not much else. Don’t worry, though - Knox gets the final (and very difficult-to-pronounce) word in this story by the erstwhile Mr. Knox at the hands of the Fox in Sox, who goads Knox into participating in his increasingly complicated tongue-twisters. Let’s do tricks with bricks and blocks, sir!” So begin the troubles of the long-suffering Mr. Which, naturally, causes tummy troubles (and fire-breathing hazards). We all know that humans love tacos, but you might be surprised to find that dragons love them even more! Join these mythical Mexican food aficionados as they devour tacos of every shape and size, with every ingredient except one: spicy salsa. Dragons Love Tacos by Adam Rubin and Daniel Salmieri until some unfortunate weather patterns start to wreak havoc, and they wonder whether edible precipitation really is such a blessing after all.Ģ. The citizens seem to have it made in the shade (of a meatball-filled cloud). All their food simply falls out of the sky - pizza, pasta, peanut butter, you name it. ![]() In the town of Chewandswallow, nobody ever goes grocery shopping. Cloudy With a Chance of Meatballs by Judi and Ron Barrett From talking animals to raining spaghetti, these books are sure to elicit delighted giggles from kids aged 2-5.ġ. This section consists of picture books and other simple stories designed to introduce very young children to the world of fantasy. Even if you're an adult, you're sure to see some of your childhood classics here!įantasy books for toddlers and preschoolers □ But we think there's something for everyone on this list of the 60 best fantasy books for kids. No matter how old you are, it’s never too early to start reading fantasy - especially with so many incredible works out there! And of course, bolstered by a kid’s imagination, these stories can truly come to life… which arguably makes children the ideal audience for the genre. ![]() For hair that is straight, layered and/or fine: Braid the ponytail and secure with a thin ponytail band as close to the end as possible.Whether long or short, your hair has to stay together to create the actual bun in the next step. Gather hair into a ponytail at your desired bun location. Try a ballet bun at the top of your head, a classic bun at the nape of your neck or a trendy side bun close to your ear. The cool thing about the bun is that you can plant it anywhere on your head. Step 2: Make a high, low or side ponytail If you choose a bun with no part, simply brush your hair straight back from your face. ![]() If you want to wear a part, then brush your hair away from the part until it's smooth and free of tangles. Buns come in all shapes and sizes, but most are created with the same basic steps.Ī bun works well with just about any part, or even none at all. Some busy mornings, you have neither the time nor the energy to fuss with your hair. Dermatologists share anti-aging tips that work.7 Steps to a flawless, youthful complexion.More celeb secrets> The steps you need to get that A-list posture Read more about beauty And resist wearing your shoulders as earrings– a long neck is a proud neck. Keep your shoulder blades pulled back as you work at the computer. Practice holding in your stomach while you pump gas. Look younger instantly by becoming conscious of the way you walk, stand and sit. Unless we continue to work at it– Pilates build up your core and a calcium supplements build up your bones– we'll become hunched over as well. Not only does a strong, healthy posture show off your confidence, it also makes you look taller and thinner.Īs we age, we lose some of the core muscle and bone strength that keeps us nice and aligned. More celebrity secrets> Simplify your beauty routine and get red-carpet beautiful Stand up and slim downĭid you know there was such a thing as red carpet posture? Celebrities know which poses and angles look best in front of the camera– and it starts with good posture. When you find the best hairstyle FOR YOU, it'll look so good that your friends will sneak off to their stylists to copy you. Show the stylist what you like about different celebrity hairstyles and then discuss the shape of your face, the texture of your hair and the daily hair routine you can commit to. Instead, sit down with your hairstylist and talk it through. Unless you have the same features as your favorite star, it's probably not a good idea to copy her hairstyle. Women around the world ran to beauty salons to get the look.īut face it: we all look different and that's what keeps things interesting. She was followed by Victoria Beckham and the choppy, face-framing bob. Later, Jennifer Aniston started a huge trend with her Rachel haircut. More celebrity secrets> Celebrity skin care secrets revealed Start a hair trendįarrah Fawcett had the most coveted hairstyle of the 1970s. Remember to protect not just your face, but also your neck, chest, hands and other areas that can give away your real age. Celebs bare more skin than most of us– in formal gowns and on the big screen, and work to keep all of it as young-looking as possible. Whether a celebrity chooses to go gold or ivory, underneath it all she protects her skin from the dangerous rays of the sun. They wear their creamy complexions proudly and stand out among the others. Stars such as Anne Hathaway and Ashley Greene have beautifully reminded us that porcelain skin is glamorous skin. A good tan can make you look thinner and healthier, but it's not for everyone. The secret, of course, is that their gorgeous bronze comes not from the beaches of Malibu but rather from a spray gun. A-list celebrities are forever boasting Golden Coast tans yet never seem to suffer the sun's damaging effects. But we can embrace some of their secrets to improve our own aging process and start looking younger today: Get your glow onįake it. And 71-year-old Raquel Welch is like a freak of nature– the gorgeous woman doesn’t look a day over 40.Įternally young celebrities have personal trainers, chefs, plastic surgeons and lots of money. Helen Mirren, 66, won “Best Body” in an L.A. Demi Moore, 48, gets better with every birthday. ![]() I think you will agree that all of these outcomes are equally likely. I have denoted 'heads' by an 'h', and tails by a 't.' I have starred the outcomes that indicate a win for myself. ![]() Thus, I believe the following list of possible endings to the game is exhaustive. In a similar manner, if I had not achieved the necessary 2 points for my victory, this would imply that you had in fact achieved at least 3 points and had therefore won the game. For, in those four tosses, if you did not get the necessary 3 points for your victory, this would imply that I had in fact gained the necessary 2 points for my victory. Seeing as I needed only two points to win the game, and you needed 3, I think we can establish that after four more tosses of the coin, the game would have been over. In 1654, Blaise Pascal and Pierre de Fermat corresponded on this problem, with Fermat writing:Īs to the problem of how to divide the 100 Francs, I think I have found a solution that you will find to be fair. If the game is interrupted when H has 8 heads and T has 7 tails, how should the pot of money (which happens to be 100 Francs) be split? Player H wins the game if 10 heads come up, and T wins if 10 tails come up. show ()įermat and Pascal: Gambling, Triangles, and the Birth of Probability ¶ Pierre de FermatĬonsider a gambling game consisting of tossing a coin. We'll start by defining the contents of the urn: But there are only 56 / 2 = 28 combinations, because (W1, W2) is the same combination as (W2, W1). For example, if I want to choose 2 white balls from the 8 available, there are 8 ways to choose a first white ball and 7 ways to choose a second, and therefore 8 × 7 = 56 permutations of two white balls. The second issue is handled automatically by the P function, but if I want to do calculations by hand, I will sometimes first count the number of permutations of balls, then get the number of combinations by dividing the number of permutations by c!, where c is the number of balls in a combination. That makes it clear that selecting 'W1' is different from selecting 'W2'. To account for the first issue, I'll have 8 different white balls labelled 'W1' through 'W8', rather than having eight balls all labelled 'W'. An outcome is a set of balls, where order doesn't matter, not a sequence, where order matters.We have multiple balls of the same color.We'll solve each of the 3 parts using our P function, and also using basic arithmetic that is, counting. So, an outcome is a set of 6 balls, and the sample space is the set of all possible 6 ball combinations. What is the probability of each of these possible outcomes: We select six balls at random (each possible selection is equally likely). (You'd think the urns would be empty by now.)įor example, here is a three-part problem adapted from :Īn urn contains 23 balls: 8 white, 6 blue, and 9 red. This notebook will develop all these concepts I also have a second part that covers paradoxes in Probability Theory.Īround 1700, Jacob Bernoulli wrote about removing colored balls from an urn in his landmark treatise Ars Conjectandi, and ever since then, explanations of probability have relied on urn problems. (This assumes that all outcomes in the sample space are equally likely.) Since it is a ratio, probability will always be a number between 0 (representing an impossible event) and 1 (representing a certain event).įor example, the probability of an even die roll is 3/6 = 1/2. Īs Laplace said, the probability of an event with respect to a sample space is the number of favorable cases (outcomes from the sample space that are in the event) divided by the total number of cases in the sample space. The set of all possible outcomes for the experiment.Ī subset of possible outcomes that together have some property we are interested in.įor example, the event "even die roll" is the set of outcomes. The result of an experiment one particular state of the world. We'll start being methodical by defining some vocabulary:Īn occurrence with an uncertain outcome that we can observe. Laplace really nailed it, way back then! If you want to untangle a probability problem, all you have to do is be methodical about defining exactly what the cases are, and then careful in counting the number of favorable and total cases. when nothing leads us to expect that any one of these cases should occur more than any other. is thus simply a fraction whose numerator is the number of favorable cases and whose denominator is the number of all the cases possible. (You should have some background in probability and Python.) This notebook covers the basics of probability theory, with Python 3 implementations. Peter Norvig, A Concrete Introduction to Probability (using Python) ¶ |
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