Answer:
Option: D is inaccurately calculated.
( The probability that a pitch over the plate is a ball is 5:10. So, P(B | C) = 0.5 )
Explanation:
We will calculate each of the options and then observe which of the option is incorrectly calculated.
We are given a table as:
over the plate (C) Not over the plate(D) Total
strike(A) 10 0 10
Ball(B) 5 20 25
Total 15 20 35
We know that:

Now:
1)

From the table we have:

Hence, P(A|D)=0.
Hence, option 1 is correct.
2)
Now:

from the table we have:
P(B∩D)=20=P(D)
Hence, P(B|D)=0.
Hence, option 2 is correct.
3)
Now:

from the table we have:
P(A∩C)=10 and P(C)=15
Hence, P(A|C)= 10/15.
Hence, option 3 is correct.
4)

from the table we have:
P(B∩C)=5 and P(C)=15.
Hence, P(B|C)=5/15=1/3.
Hence, option 4 is incorrectly calculated.
Hence, the answer is:
( The probability that a pitch over the plate is a ball is 5:10. So, P(B|C) = 0.5 ).