Fill in the Blank: Let A, B and C be independent events such that:
P(A)=4/12 P(B)=3/12 P(C)=5/12
Find the probability P(A ∩ B)

5.
Fill in the Blank: Let there be two urns, A and B. Urn A contains: 3 white balls; 5 red balls and 8 black balls. Urn B contains: 5 white balls; 3 green balls and 8 black balls. First an urn is picked at random and then a ball is picked at random. Find the probability that a white ball is picked given that urn B is picked.

Question

Fill in the Blank: Let A, B and C be independent events such that:
P(A)=4/12       P(B)=3/12      P(C)=5/12
Find the probability P(A ∩ B)


5. 
Fill in the Blank: Let there be two urns, A and B. Urn A contains: 3 white balls; 5 red balls and 8 black balls. Urn B contains: 5 white balls; 3 green balls and 8 black balls. First an urn is picked at random and then a ball is picked at random. Find the probability that a white ball is picked given that urn B is picked.