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Problem Page Question (a)Chau is playing a board game. He must roll dice to determine if...

Problem Page

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(a)Chau is playing a board game. He must roll dice to determine if he gets an extra turn. The probability of getting an extra turn is

5/18

. Find the odds in favor of getting an extra turn.

(b)Lucy has a box of candies and will randomly choose one piece. The odds against choosing a lemon-flavored piece are

2/5

. What is the probability of choosing a lemon-flavored piece?
Math   Statistics-And-Probability   
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Answer #1

a) Given that the probability of getting an extra turn is p = 5/18.

The odds in favor of getting an extra turn is given as p/(1-p).

p/(1-p)=(5/18) / (1-5/18) = 5/13

The answer is 5/13.

b) Let the probability of choosing a lemon-flavored piece to be p.

The odds against choosing a lemon-flavored piece is given as (1-p)/p. which is equal to 2/5 (Given).

(1-p)/p = 2/5

1/p - 1 = 2/5

1/p = 2/5 + 1

1/p = 7/5

p = 5/7

The answer is p = 5/7

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