Question

Given that P(A or B) = 12, P(A) = 13, and P(A and B) = 19, find P(B).

Answer 1

Answer: 18

Explanation:

To find P(B), we can use the formula P(A or B) = P(A) + P(B) - P(A and B). Plugging in the given values:

12 = 13 + P(B) - 19

Simplifying the equation:

12 = -6 + P(B)

Now, solve for P(B):

P(B) = 12 + 6

P(B) = 18