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

Question

13 days ago

14

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.

Mathematics

2 answers:

tester [12.3K] · Answer 1 · 2026-04-08T18:16:31+03:00

tester [12.3K]13 days ago

8 0

The probability that a pitch over the plate is a ball is measured at 5:10, giving P(B | C) = 0.5. A detailed walkthrough would be: P(B | C) = n(B & C)/n(C) = 5/(10+5) = 5/15 which simplifies to 5: 15.

Zina [12.3K] · Answer 2 · 2026-04-08T18:14:15+03:00

To resolve this question, simply tally the probabilities of the options. The likelihood of a pitch not crossing the plate being a strike is non-existent; thus, P(A | D) = 0. This is true as it calculates to 0/0+20= 0. The likelihood of a pitch not over the plate being a ball is complete; therefore, P(B | D) = 1. This holds true as it equals 20/20+0= 1. The likelihood of a pitch over the plate being a strike is 10:15. It’s incomplete but seems correct; it can be calculated as 10/10+5= 10/15 = 2/3. The probability for a pitch over the plate labeled a ball is 5:10; therefore, P(B | C) = 0.5.