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When playing roulette at a casino, a gambler is trying to decide whether to bet $5 on the number 28 or to bet $5 that the outcome is any one of the three possibilities 00 comma 0 comma or 1. The gambler knows that the
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- Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, three white ones, and two purple ones. She grabs seven of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has at least one green one.arrow_forwardWhenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, three white ones, and one purple one. She grabs six of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has at most one green one.arrow_forwardA person must pay $$6 to play a certain game at the casino. Each player has a probability of 0.16 of winning $$12, for a net gain of $$6 (the net gain is the amount won 12 minus the cost of playing 6).Each player has a probability of 0.84 of losing the game, for a net loss of $$6 (the net loss is simply the cost of playing since nothing else is lost).What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places.arrow_forward
- A person must pay $$6 to play a certain game at the casino. Each player has a probability of 0.1 of winning $$11, for a net gain of $$5 (the net gain is the amount won 11 minus the cost of playing 6).Each player has a probability of 0.9 of losing the game, for a net loss of $$6 (the net loss is simply the cost of playing since nothing else is lost).What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places.Expected Value = $arrow_forwardSuppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the roll on the 6-sided die is strictly larger than both of the other two dice?arrow_forwardIn this problem, the gambler’s idea of odds does not enter at all. a. The odds of an event are 1/5. What is the probability of the event occurring? b. The probability of an event is 2/3. What are the odds of the event occurring?arrow_forward
- Tom has a standard set of pool balls. If he were to draw one ball at random, what is the probability that it will be red or yellow? Give your answer in its simplest form.arrow_forwardYour friend tells you she has 10 coins in her hand (just pennies, nickels, dimes and quarters). If you guess how many of each kind of coin she has, she will give them to you. If you guess randomly, what is the probability that you will be correct? -arrow_forward
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