Question

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.

Answer 1

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

Explanation:

P(B|C) = 5/(5+10)

5/15

5:15

Answer 2

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.