Ali and Ahmet play a game. A fair die is rolled, and each time it is thrown it is equally likely to show any of the Six numbers. If it shows 5, Ali wins. If it shows 1, 2 or 6, Ahmet wins. Otherwise, they play a second round and so on. What is P(Ali wins on 5-th round)=? O a. 1/96 O b. 1/162 O c. 1/243 O d. 1/486

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
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Ali and Ahmet play a game. A fair die is rolled, and each time it is thrown it is equally likely to show any of the
six numbers. If it shows 5, Ali wins. If it shows 1, 2 or 6, Ahmet wins. Otherwise, they play a second round and
so on. What is P(Ali wins on 5-th round)=?
O a. 1/96
O b. 1/162
O c. 1/243
O d. 1/486
Transcribed Image Text:Ali and Ahmet play a game. A fair die is rolled, and each time it is thrown it is equally likely to show any of the six numbers. If it shows 5, Ali wins. If it shows 1, 2 or 6, Ahmet wins. Otherwise, they play a second round and so on. What is P(Ali wins on 5-th round)=? O a. 1/96 O b. 1/162 O c. 1/243 O d. 1/486
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