P(A) = 0.40 P(B) = 0.60 P(A|B) = 0.08 What is P(A and B)?

Question

asked Sep 13, 2021 232k views

1 Answer

Rodrigo Laguna · Answer 1 · 2021-09-20T02:37:50+0000

Answer:

$P(A \: and \: B) = 0.048$

Explanation:

Recall that the probability of event A , given that event B has occurred is given as:

$P(A|B)=(P(A\cap B))/(P(B))$

Since P(A|B) = 0.08 and P(A) = 0.40 are not the the two events are not independent.

We substitute the probabilities to get:

$0.08=(P(A\cap B))/(0.60)$

$P(A\cap B) = 0.08 * 0.6 = 0.048$

Therefore

$P(A \: and \: B) = 0.048$