The chances of winning are often written in terms of odds rather than probabilit

Question

The chances of winning are often written in terms of odds rather than probabilities. 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 2: 3. The probability of winning an instant prize game is 1/10. The odds of winning a different instant prize game are 1: 10. If you want the best chance of winning, which game should you play? Explain your reasoning. Choose the correct answer below. A. You should play the second game because the probability of winning a game with 1: 10 odds of winning is 1/9, which is greater than 1/10. B. You should play the second game because the probability of winning a game with 1: 10 odds of winning is 1/11, which is less than 1/10. C. You should play the first game because the probability of winning a game with 1: 10 odds of winning is 1/9, which is greater than 1/10. D. You should play the first game because the probability of winning a game with 1: 10 odds of winning is 1/11, which

Explanation / Answer

Ans:

Probability of winning an instant prize game(First)=1/10=0.1

if odds of winning are given a:b

Probability of winning=succesful events/(successful events+unsuccessful events)=a/(a+b)

Probability of winning an instant prize game(second)=1/(1+10)=1/11=0.0909

As probability of winning in second game is 1/11,which is lower than probability of winning in first game(1/10),

Hence,You should play first game for best chance of winning.

So,Option D is correct.

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