If P(A) = 0.62, P(B) = 0.47, and P(A or B) = 0.88, then P(A and B) = _____.

Solution:

Given:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x.

P(A) = 0.62, P(B) = 0.47,

and P(A or B) = 0.88

We know that

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

Substituting these values we get,

0.88 = 0.62 + 0.47 - P(A and B)

By further calculation

P(A and B) = 0.62 + 0.47 - 0.88

P(A and B) = 0.21

Therefore, the value of P(A and B) is 0.21.

If P(A) = 0.62, P(B) = 0.47, and P(A or B) = 0.88, then P(A and B) = _____.

Summary:

If P(A) = 0.62, P(B) = 0.47, and P(A or B) = 0.88, then P(A and B) = 0.21