Find the probability

Question

Given P(A) = 0.6

 and P(B) = 0.8,

 do the following:

(a) If A and B are independent events, compute P(A and B).

 

 

(b) If P(A | B) = 0.5,

 compute P(A and B).

 

Answer 1

Please whatch this video for the answer to your question. I hope this helps.

Answer 2

a) P(A and B) = 0.6(.8) =P(A)P(B) = 0.48 = 48% if independent

b) P(A/B) = 0.5 P(A and B)= P(A/B)/P(B)= .5/.8 = 0.625 = 62.5% A and B are not independent, but almost.

Draw a Venn diagram. It helps