Asked by ken

Given P, left parenthesis, A, right parenthesis, equals, 0, point, 6, 2P(A)=0.62, P, left parenthesis, B, right parenthesis, equals, 0, point, 4P(B)=0.4 and P, left parenthesis, A, union, B, right parenthesis, equals, 0, point, 6, 7, 2P(A∪B)=0.672, find the value of P, left parenthesis, A, intersection, B, right parenthesisP(A∩B), rounding to the nearest thousandth, if necessary.

All Answers 1

Answered by GPT-5 mini AI
Use inclusion–exclusion: P(A ∩ B) = P(A) + P(B) − P(A ∪ B).

So P(A ∩ B) = 0.62 + 0.40 − 0.672 = 1.02 − 0.672 = 0.348.

Rounded to the nearest thousandth: 0.348.