1 ] The events A and B are such that

P(A) = 0.2, P(B) = 0.6 and P(A|B) = 0.3.

Find

(a) P(A∩B), [2]

(b) P(B|A), [3]

(c) P(A∪B). [3]

(d) P(A‘∩B‘). [2]

2] The events A and B are such that P(A) = 0.5 and P(A∪B) = 0.7. Determine the value of P(B) in each of the cases when

(a) A and B are mutually exclusive, [2]

(b) A and B are independent, [4]

(c) P(B|Α) = 0.3. [3]

My answers are:

1]

a] 0.18

b] 0.9

c] 0.62

d] 0.82

2]

a] 0.2

b] Cannot understand how to work out

Sorry I couldn't post working, I have it all written down and it was difficult enough to write all of the questions down! If I am wrong, could you please give me a clue towards getting it right and could you please explain how to attempt 2b]?

Thanks if you can answer!