P(Yeung finishes a triathlon) = 3/5; P(Ariven finishes) = 2/3.

(a(i)) Who is more likely to finish? Give a reason. [1]

(a(ii)) Find P(both finish). [2]

(a(iii)) Find P(exactly one finishes). [3]

Yeung then enters two more races. The tree gives the finish probabilities at each stage.

(b(i)) Complete the tree. [3]

(b(ii)) Find P(Yeung finishes all three). [2]

(b(iii)) Find P(Yeung finishes at least one). [3]