3.8.25 George wins 43% of all chess games. e to S grated (a) What is the probabi

Question

3.8.25 George wins 43% of all chess games. e to S grated (a) What is the probability that George wins two chess games in a row? (b) What is the probability that George wins five chess games in a row? (c) When events are independent, their but does not win six in a row Modu rk & Tests (b) The probability that George wins five chess games in a row is 0.0147 Activity (a) The probability that George wins two chess games in a row is 0.1849 (Round to four decimal places as needed.) (Round to four decimal places as needed.) (c) The probability that George wins five chess games in a row but does not win sik in a row is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer Clear All All parts showing ucces uccess To see what to study next, go to your Study Plan. Library 89

Explanation / Answer

c) P(George wins five chess games in a row , but dos not win six in a row)

Here all the events are independent.

P(win) = 0.43 so P(not win) = 1 - 0.43 = 0.57

So P(George wins fiv chess in a row, but does not win six in a row) = 0.43 * 0.43 * 0.43 * 0.43 * 0.43 * 0.57

                                                                                                       = 0.0084

This is the required probability.

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