Please show work so I understand the outcomes Conditional ProbabilityWhat is that conditional probability?Consider a probability experiment withS = {0, 1, 2, 3, 4, 5, 6,7}and these two events: A ={1, 2, 3}, and B = {1,3, 5, 6, 7}What is P (A|B)?What is P (B|A)?

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Answered: Conditional Probability What is that…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...

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Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible hours----even when it meant slower career advancement----so they could spend more time with their families. The figure shows the results of the survey. What is the probability that three people chosen at random would prefer flexible work hours?
Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an 8,000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning and that of B winning if the game were to continue? The French Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.
Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004. The packaging department has eight workers. What is the probability that two or more ackaging workers Will call in sick next Monday ?
Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an $8000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning (and that of B winning) if the game were to continue? The French mathematicians Pascal and Fermat corresponded about this problem, and both came to the same correct conclusion (though by very different reasoning's). Their friend Roberval disagreed with both of them. He argued that player A has probability of Winning, because the game can end in the four ways H, TH, TTH, TTT, and in three of these, A wins. Roberval’s reasoning was wrong. Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform this experiment 80 or more times, and estimate the probability that player A wins. Calculate the probability that player A wins. Compare with your estimate from part (a).
In Example 8, what is the probability that an employee chosen at random has 30 or more years of service?
In Example 5, what is the probability that an institution selected at random is in the Pacific region?
a. You toss three coins. What is the probability that all three land tails up? b. You draw one card at random from a standard deck of 52 playing cards. What is the probability that it is a diamond?

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Conditional Probability What is that conditional probability? Consider a probability experiment with S = {0, 1,2, 3, 4, 5, 6, 7} and these two events: A = {1, 2, 3}, and B = {1,3, 5, 6, 7} What is P (A|B)? What is P (B|A)?