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.
