Probability question

Question

Two hockey players, Warren and Andrew, each independently take a penalty shot. The odds of Warren scoring are 8:3 in favour. The odds of Andrew scoring are 2:5 against. Marks will be assigned for drawing a tree diagram. Determine the probability that a.)they both score b.) they both miss c.) only one scores.

Answer 1

P(W)=8/11

P(A) = 3/8

P(W&A) = 8/11 x 3/8 = 3/11

P(~W&~A) = 3/11 x 5/8 = 15/88

P(one scores) = 8/11 x 5/8 + 3/8 x 3/11 = 5/11 + 9/88 = 49/88

they all sum to 1