Q:

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 strike is zero. So, P(A | D) = 0. 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.

Accepted Solution

A:
The probability the pitch over the plate is a ball is 5:10. (5 balls and 10 strikes over the plate) should be written as 5:15 or 1:3 so this one is inaccurate.