Question

The probability that the first record of a singing group will be a hit is 0.28. If their first record is a hit, so are all their subsequent records. If their first record is not a hit, the probability of their second and all subsequent ones being hits is 0.14. If the first two records are not hits, the probability that the third is a hit is 0.07. Find the probability that a group has exactly 2 hits in their first three records.

P(exactly 2 hits in first three records) =
(Simplify your answer. Type an integer or a decimal. Round to 6 places.)

Answer 1

A singing group has a 0.28 probability of their first record being a hit. If the first record is a hit, all subsequent records are hits. If the first record is not a hit, the probability of their second and all subsequent ones being hits is 0.14. If the first two records are not hits, the probability that the third is a hit is 0.07. The probability that a group has exactly 2 hits in their first three records is 0.084672. [Answer