If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) will be
0.0325, 0.8, 0.65, 0.05
Solution:
P(A) = 0.05 and P(B) = 0.65
We know that the conditional probability of A given B = P(A/B)
if A and B are independent events P(A/B) = P( A ∩ B)/ P (B)
P( A ∩ B) = P(A) × P(B)
Thus P(A/B) can be written as
P (A/B) = [P (A) × P (B)]/ P (B)
P (A/B) = P (A) = 0.05
Therefore, P (A/B) = 0.05.
If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) will be
0.0325, 0.8, 0.65, 0.05
Summary:
If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) will be 0.05.
Math worksheets and
visual curriculum
visual curriculum