In baseball, a player pitches a ball from the mound to a catcher behind the plate. A pitch that passes over the plate above the batter’s knees and below his chest is a strike. All other pitches are “balls,” provided the batter does not swing at them or hit them foul.

The table below breaks a sample number of pitches into strikes and balls over the plate and not over the plate.

Over plate (Event C)

Not over plate (Event D)

Strike (Event A) 10 0

Ball (Event B) 5 20

Which conditional probability below is either inaccurately described or inaccurately calculated?

The probability that a pitch not over the plate is a ball is 1. So, P(B | D) = 1.

The probability that a pitch over the plate is a strike is 10:15. So, ...

The probability that a pitch over the plate is a ball is 5:10. So, P(B | C) = 0.5.

The probability that a pitch not over the plate is a strike is zero. So, P(A | D) = 0.
I have no clue how to do this. Show your work.

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