If P(A) = 0.3, P(A
B) = 0.7, and P(A
B) = 0.2, then P(
B) = 0.2.

Name: If P(A) = 0.3, P(A B) = 0.7, and P(A B) = 0.2, then P( B) = 0.2.
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Question

If P(A) = 0.3, P(A 
B) = 0.7, and P(A 
B) = 0.2, then P(
B) = 0.2.

Quizplus · Accepted Answer

We can use the formula P(AUB) = P(A) + P(B) - P(A 11eb6b9e_066e_03a2_8d9d_37a9cb017b1d_TB8220_11 B) to solve for P(B). Rearranging the formula, we get P(B) = (P(A)+P(B)-P(A 11eb6b9e_066e_03a2_8d9d_37a9cb017b1d_TB8220_11 B))/2 = (0.3 + P(B) - 0.7)/2 = (P(B)-0.4)/2. Solving for P(B), we get P(B) = 0.4, not 0.2. Therefore, the statement is false.