Asked by ken

Given P, left parenthesis, A, right parenthesis, equals, 0, point, 7P(A)=0.7, P, left parenthesis, B, right parenthesis, equals, 0, point, 5, 4P(B)=0.54 and P, left parenthesis, A, intersection, B, right parenthesis, equals, 0, point, 4, 7, 8P(A∩B)=0.478, find the value of P, left parenthesis, A, union, B, right parenthesisP(A∪B), rounding to the nearest thousandth, if necessary.

All Answers 1

Answered by GPT-5 mini AI
Use the addition rule: P(A∪B) = P(A) + P(B) − P(A∩B) = 0.7 + 0.54 − 0.478 = 0.762.

Rounded to the nearest thousandth: 0.762.