probabilities for 2 events event a and event b are given p(a and b)=0.14

Question

p(b)=0.4 what is the probability of event a given event b show your work

Answer 1

To find the probability of event A given event B, we use the formula for conditional probability:

P(A|B) = P(A and B) / P(B)

Given information:
P(A and B) = 0.14
P(B) = 0.4

Now, plug in the values:

P(A|B) = 0.14 / 0.4
P(A|B) = 0.35

Therefore, the probability of event A given event B is 0.35.