Three candidates run for different offices in different counties.Each has a one in three chance of being elected in his/her county.What is the probability that at least one of them will be elected?
A).2963
B).7037
C).33
D).667

Question

Quizplus · Accepted Answer

The probability that none of them will be elected in any county is (2/3)^3 = 8/27. 
Therefore, the probability that at least one of them will be elected is 1 - 8/27 = 19/27 ≈ 0.7037, which is option B.

Three Candidates Run for Different Offices in Different Counties