1.8 In the game of baseball a player at bat either reaches base or is retired. Consider...

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1.8 In the game of baseball a player at bat either reaches base or is retired. Consider three baseball players: player A was at bat 200 times and reached base 0.310 of times; player B was at bat 250 times, with an on-base percentage of 0.296; player C was at bat 300 times, with an on-base percentage 0.260. Find

(a) the probability that when either player A, B, or C were at bat, he reached base,

(b) the probability that, given that a player reached base, it was A, B, or C.

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