In a recent baseball season, Ron was hit by pitches 21 times in 602 plate appearances during the regular season. Assume that the probability that Ron gets hit by a pitch is the same in the playoffs as it is during the regular season. In the first playoff series, Ron has 23 plate appearances. What is the probability that Ron will get hit by a pitch exactly once?

the probability that Ron will get hit by a pitch exactly once is 36.71%

Step-by-step explanation:

The random variable X = number of times Ron is hits by pitches in 23 plate appearances follows, a binomial distribution. Where

P (X=x) = n! / (x! * (n-x) !) * p^x * (1-p) ^x

where

n = plate appearances = 23

p = probability of being hit by pitches = 21/602

x = number of successes=1

then replacing values

P (X=1) = 0.3671 (36.71%)