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.

Question

Kamari Parsons

Mathematics

16 March, 00:44

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.

+1

Answers (1)

Know the Answer?

Mira Cohen · Answer 1

To solve this question, you just need to count all the probability of the options.

The probability that a pitch not over the plate is a strike is zero. So, P (A | D) = 0.

True. It is 0/0+20 = 0

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

True, it is 20/20+0 = 1

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

Incomplete but it sounds to be true. It should be 10/10+5 = 10/15 = 2/3

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

False. It should be 5/10+5 = 5/15 = 1/3