Question

Steve and Stan are both bad sports handicappers who can only pick the correct winner 50% of the time. Yesterday, they each released 2 picks. Assume that the outcome of each pick must either be a win or a loss.

Steve tells you that his 1st pick won. He won't tell you if his 2nd pick won or lost.

Stan tells you that at least one of his picks won.

Who is more likely to have gone 2-0 yesterday?

A) Steve
B) Stan
C) They are both equally as likely to have gone 2-0 yesterday

Answer 1

Given that: Steve and Stan are both bad sports handicappers who can only pick the correct winner 50% of the time. Yesterday, they each released 2 picks. Assume that the outcome of each pick must either be a win or a loss.

Steve tells you that his 1st pick won. He won't tell you if his 2nd pick won or lost, so the probability for Steve to have both the picks won is 1/2.

Stan tells you that at least one of his picks won, so also the probability for Stan to have both the picks won is 1/2.

Hence both have the same probability to have gone 2-0 yesterday.

Question: Who is more likely to have gone 2-0 yesterday?

Answer: C) They are both equally as likely to have gone 2-0 yesterday