A fair coin is tossed 7 times. (a) What is the probability of exactly 4heads in the 7 tosses? (b) What is the probability of 2 or more heads?(c) What is the probability of at least one head? (d) What is theprobability of at most 1 head?

Answered: Image /qna-images/answer/b537ce4b-a057-4c0c-9a43-e16b7864f380.jpg

Answered: A fair coin is tossed 7 times. (a) What…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 14CR

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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.

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A fair coin is tossed 7 times. (a) What is the probability of exactly 4 heads in the 7 tosses? (b) What is the probability of 2 or more heads? (c) What is the probability of at least one head? (d) What is the probability of at most 1 head?