Probability help (this is driving me nuts) #2

I have been at this for 3 days already and i did some of them but i just am so confused that my brain hurts even trying to figure out if i am doing the right stuff. please please help me/ show me or point me in the right direction with these problems

2. A box contains n = g + b + m pancakes, where g, b, and m are positive integers. Of the n

pancakes, g of them are golden brown on both sides, b of them are brown on both sides, and m of them are

“mixed” (one side golden brown, one side brown). You select one pancake at random and look at one side

of it; that side is brown. What is the probability that the other side is also brown? (Write your answer in

terms of g, b, m,

3 .I tell you that, for two events A and B, P(A \ B) = 0.3, P(B | A) = 0.5, and that A and

B are independent. For each statement, say “True”, “False”, or “Can’t Tell”, and give a reason for your

answer.

(i). A and B are mutually exclusive

(ii). A and A [ B are independent

(iii). P(B) = P(A | B)

(iv). P(A | B) > P(B | A)

(v). P(B) </=P(A)