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At a particular point in a baseball game, the manager of the Mudhens

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At a particular point in a baseball game, the manager of the Mudhens, John Jay, must pick one of three players, A, B, or C to bat. If A bats, then there is a 27% chance of getting a hit. If B bats, then there is a 36% chance of getting a hit. If C bats, then there is a 20% chance of getting a hit. Assume these percentages are probabilities. (36% = .36 etc.). Using his vast experience, the manager randomly picks A, B, or C with respective probabilities .3, .5, .2.

a. What is the probability that the Mudhens get a hit in this situation?

b. What is the probability that the Mudhens do not get a hit in this situation?

c. Find the conditional probability that the Mudhens get a hit given that A bats?

d. What is the probability that A is chosen and the Mudhens get a hit?

e. If the Mudhens get a hit, what is the probability that C was chosen to bat?

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[Solved] At a particular point in a baseball game, the manager of the Mudhens

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