Question

John Smith, a baseball player, throws three types of pitches; fastball (FB), curveball (CB) and slider (SL). He throws a fastball 45% of the time, a curveball 28% of the time, and a slider the rest of the time. About 72% of the fastballs are strikes, 70% of the curveballs are strikes, and only 32% of the sliders are strikes. Let S represent a strike and NS represent not a strike.

b) What is the probability (to 4 decimal places) that Smith throws a fastball and not a strike?

john Smith, a baseball player, throws three types of pitches; fastball (FB), curveball (CB) and slider (SL). He throws a fastball 45% of the time, a curveball 28% of the time, and a slider the rest of the time. About 72% of the fastballs are strikes, 70% of the curveballs are strikes, and only 32% of the sliders are strikes. Let S represent a strike and NS represent not a strike.

c) What is the probability (to 4 decimal places) that Smith throws a strike?

John Smith, a baseball player, throws three types of pitches; fastball (FB), curveball (CB) and slider (SL). He throws a fastball 45% of the time, a curveball 28% of the time, and a slider the rest of the time. About 72% of the fastballs are strikes, 70% of the curveballs are strikes, and only 32% of the sliders are strikes. Let S represent a strike and NS represent not a strike.

d) What is the probability (to 4 decimal places) that Smith throws a curveball given that it was a strike?

can somebody answer this question.

Answer 1

1. This question is based on the conditional probability and Bayes Theorem.