This lab is designed to allow students to calculate how often a fair coin is judged to be unfair and how often a biased coin is Justify your answers! At this station, you have to devise a new casino game using dice, cards, or a spinner.

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“Deck of Cards” was written in by T. Games Answer to In a poker game, 5 cards Lab: Coins, Dice, Cards Objective: Students will discover the First and.

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Fluxx is a card game, played with a specially designed deck published by Looney Labs. A new expansion of the game, Fluxx Dice, plus two new licensed variants were sans the extras; includes 7 exclusive cards, and a collectible coin; adds a "Danger" type cards that "Introducing Meta Rules & Revising Old Answers".

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When you toss a coin, you flip it up into the air in such a way that it is spinning rapidly while in N.B. DIE is singular ("one die") and DICE is plural ("twelve dice"). 4/52 = 1/13]; a spade [answer: 13/52 = 1/4]; a face card [answer: 12/52 = 3/13].

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In an experiment, all possible outcomes are known. The plural of die is dice. III. Drawing a card from a well-shuffled deck of 52 cards.

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This lab is designed to allow students to calculate how often a fair coin is judged to be unfair and how often a biased coin is Justify your answers! At this station, you have to devise a new casino game using dice, cards, or a spinner.

Enjoy!

Browse coin dice resources on Teachers Pay Teachers, a marketplace trusted by millions to collect data in a tally chart, create a matching graph, and answer questions about the data. Print on card-stock (lamination helps), glue the tabs, and you are ready to go! Worksheets, Activities, Laboratory.

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Explain your answer. 2-/25 - 80 Welcome to the AP Statistics Casino Lab! Casinos rely on the laws Station #2: Coins, Dice, Cards, Trees. The Game: In.

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Station #2: Coins, Dice, Cards, Trees. The Game: In this game, you begin by tossing 4 coins simultaneously. You count the number of heads. If the number of.

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Head First Labs has given you a whole rack of chips to squander at Fat Dan's, and To get the correct answer, we need to subtract the probability of getting both.

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The croupier spins a roulette wheel, then spins a ball in the opposite direction, and you place bets on where you think the ball will land. You can use it to help work out the probabilities in this chapter. They exhaust all possibilities. You can place all sorts of bets with roulette. People are tempted to make bets where the return is high, even though the chances of them winning is negligible. For each event below, write down the probability of a successful outcome. A I is known as the complementary event of A. Sometimes it can be impossible to say what will happen from one minute to the next. A: There certainly is. Mark the probability on the scale below. S is known as the possibility space , or sample space. All sorts of games are offered, from roulette to slot machines, poker to blackjack. A: It all depends on your particular situation and what information you are given. A: No. Probability is a way of measuring the chance of something happening. Sound easy enough? Finally, use your roulette board to count all the holes that are either black or even, then divide by the total number of holes. Where do you think the ball will land? The main pockets are numbered from 1 to 36, and each pocket is colored either red or black. Have you cut out your roulette board? To work out the probability, all we have to do is count how many pockets are red or black, then divide by the number of pockets. It sounds like we need to look at some probabilities What things do you need to think about before placing any roulette bets? The two events are mutually exclusive, so no elements are shared between them. It can help you make sense of apparent randomness. The game is just beginning. When we were working out the probability of the ball landing in a black or red pocket, we were dealing with two separate events, the ball landing in a black pocket and the ball landing in a red pocket. One other thing to remember: if the ball lands on a green pocket, you lose. Q: If some events are so unlikely to happen, why do people bet on them? An outcome or occurrence that has a probability assigned to it. Which way is best? Q: It looks like there are three ways of dealing with this sort of probability. Probability is measured on a scale of 0 to 1. There are two extra pockets numbered 0 and These pockets are both green. Q: Why do I need to know about probability? There are only three colors for the ball to land on: red, black, or green. Q: Does adding probabilities together like that always work? For instance, you can bet on a particular number, whether that number is odd or even, or the color of the pocket. Calculate the probability of getting a black or a red by counting how many pockets are black or red and dividing by the number of pockets. Even though our most likely probability was that the ball would land in a black pocket, it actually landed in the green 0 pocket. This sort of diagram is known as a Venn diagram. We might not be able to count on being able to do this probability calculation in quite the same way as the previous one. To get the correct answer, we need to subtract the probability of getting both black and even. I thought I was learning about statistics. Between them, they make up the whole of S. Q: Are probabilities written as fractions, decimals, or percentages? Calculating the probability of getting a black or even went wrong because we included black and even pockets twice. What about the black and even events? It can still be useful to double-check your results, though. On the previous page, we found that.{/INSERTKEYS}{/PARAGRAPH} Is there a connection? If an event is impossible, it has a probability of 0. A: A lot depends on the sort of return that is being offered. For each event you should have written down the probability of a successful outcome. The two events intersect. Here are all the possible outcomes from spinning the roulette wheel. First of all, we found the probability of getting a black pocket and the probability of getting an even number. To work out the probability of getting a 7, take your answer to question 2 and divide it by your answer to question 1. In this case, adding the probabilities gives exactly the same result as counting all the red or black pockets and dividing by To find the probability of an event A, use. You lose some of your chips. Suppose the only information you had about the roulette wheel was the probability of getting a green. In set theory, the possibility space is equivalent to the set of all possible outcomes, and a possible event forms a subset of this. This event is actually impossible—there is no pocket labeled Therefore, the probability is 0. If two events are mutually exclusive, only one of the two can occur. You had to work out a probability for roulette, the probability of the ball landing on 7. If we know P Black and P Red , we can find the probability of getting a black or red by adding these two probabilities together. In stats-speak, an event is any occurrence that has a probability attached to it—in other words, an event is any outcome where you can say how likely it is to occur. Go on—you know you want to. This gives us. Try the exercise on the next page, and see what happens. Probability theory can help you make predictions about your data and see patterns. The important thing to remember is that a probability indicates a long-term trend only. Oh dear! One way of doing so is to draw a box representing the possibility space S , and then draw circles for each relevant event. It includes all of the elements in A and also those in B. In general, the less likely the event is to occur, the higher the payoff when it happens. Look at the events on the previous page. Take a look at your roulette board. When we added the two probabilities together, we counted the probability of getting a black and even pocket twice. If you know how likely the ball is to land on a particular number or color, you have some way of judging whether or not you should place a particular bet. A lot of statistics has its origins in probability theory, so knowing probability will take your statistics skills to the next level. A: They can be written as any of these. What do you get? Q: Do I always have to draw a Venn diagram? A: Think of this as a special case where it does. It just so happens that today is your lucky day. To find the probability of winning, we take the number of ways of winning the bet and divide by the number of possible outcomes like this:. Want to give it a try? Possible events are all subsets of S. Q: Can anything be in both events A and A I? Probability lets you predict the future by assessing how likely outcomes are, and knowing what could happen helps you make informed decisions. Instead of numbers, you have the option of using the actual probabilities of each event in the diagram. Given the choice, what sort of bet would you make? {PARAGRAPH}{INSERTKEYS}Life is full of uncertainty. It all depends on what kind of information you need to help you solve the problem. Maybe some bets are more likely than others.