Question

If​ P(A or ​B)equals=0.60.6​, P(A)equals=0.40.4​, and​ P(A and ​B)equals=0.350.35​, find​ P(B).

Answer 1

P(B) = 0.55 .

Explanation:

We are given that P(A or ​B) = 0.6 ​, P(A) = 0.4 ​, and​ P(A and ​B) = 0.35 .

As we know that;

P(A or B) = P(A) + P(B) - P(A and B)

0.6 = 0.4 + P(B) - 0.35

P(B) = 0.35 + 0.6 - 0.4 = 0.55

Therefore, P(B) = 0.55 .