Sometimes probability statements are expressed in terms of odds. The odds in favor of an event A are the following ratio.

P(A)/P(Not A) = P(A)/P(A^c)

For instance, if P(A) For instance, if P(A) = 0.60, then P(A^c) = 0.40 and the odds in favor of A are 0.60/0.40 = 6/4 = 3/2, written as 3 to 2 or 3:2.

A) Show that if we are given the odds in favor of event A as n:m, the probability of event A is given by the following.

P(A) = n/n+m

Hint: Solve the following equation for P(A).

n/m=P(A)/1-P(A)

n(1-P(A)) = ? (P(A))

n-nP(A) = ? P(A)

n = ? P(A) + nP(A)

n = ( ? )P(A)

n/n+m = P(A)

B) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 6 to 11. What is the probability of a successful call? (Round your answer to two decimal places.)

C) A sports announcer says that the odds a basketball player will make a free throw shot are 3 to 7. What is the probability the player will make the shot? (Round your answer to two decimal places.)