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This Test: 15 pts possible Question Help * inis euestion: 1 pt 70115 (5 complete

ID: 3049435 • Letter: T

Question

This Test: 15 pts possible Question Help * inis euestion: 1 pt 70115 (5 complete) | The chances of winning are often witten in terms of ods rather than probabilit es. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. For example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is 3, the odds of winning are game should you play? Explain your reasoning Choose the correct answer below OA. You should play the first game because the probability of wining a game with 1 10 odds of winning is . which is greater than OB. O C. 23 The probability of winning an instant rize game is g The osds of winning a ditferent instant prize game are 1:10 If you want the best chance of winning, which You should play the second game because the probability of winning a game with 1 10 odds of winning is which is less than You should play the second game because the probability of winning a game with 1 10 odds of winning is which is greater than You should play the first game because the probability of winning a game with 1:10 odds of winning is Tr which is less than 1o 10 your answer

Explanation / Answer

Answer: Option A.

Reason: Playing the first game, odds of winning = p/(1-p) = (1/10) / (1 - 1/10) = 1/9 which is greater than 1/10 (odds of winning second game)

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