Question

Given P, left parenthesis, A, right parenthesis, equals, 0, point, 3, 5P(A)=0.35, P, left parenthesis, B, right parenthesis, equals, 0, point, 2, 4P(B)=0.24 and P, left parenthesis, A, and , B, right parenthesis, equals, 0, point, 1, 8, 4P(A and B)=0.184, find the value of P, left parenthesis, A, or , B, right parenthesisP(A or B), rounding to the nearest thousandth, if necessary.

Answer 1

Use inclusion–exclusion:
P(A or B) = P(A) + P(B) − P(A and B)
= 0.35 + 0.24 − 0.184 = 0.406

Rounded to the nearest thousandth: 0.406.