Answer:
P(B) = 0.20
Step-by-step explanation:
If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).
Provide your answer below:
We are given two events A and B and the formula for the probability of two events is given as:
P ( A ∪ B) = P(A ) + P( B ) - P( A∩ B)
Where:
P(A)=0.5
P ( A ∪ B) = P(A OR B)=0.54
P( A∩ B) = P(A AND B)=0.16
P(B) = ??
Hence, we have:
0.54 = 0.5 + P(B) - 0.16
Making P(B) subject of the formula
P(B) = 0.54 - 0.5 + 0.16
P(B) = 0.20
