In: Statistics and Probability
Given P(A) = 0.6, P(B) = 0.5, P(A | B) = 0.3, do the following. (a) Compute P(A and B).
(b) Compute P(A or B).
We have,
P(A) = 0.6 P(B) = 0.5 P(A/B) = 0.3
(a) Consider,
P(A and B)
By definition of conditional probability
Hence, P(A and B) = 0.15
(b) Consider,
P(A or B)
By Addition theorem
Hence, P(A or B) = 0.95