CAPE Applied Mathematics Unit 1 · 2017 · Paper 1 · Question Q27

In each round of a game of cards, a player can either win or lose the round. The probability of winning the first round is p and the probability of losing the second round is \frac{2}{5}, independent of the first round. The probability of losing the first round and winning the second round is

1. (A)\frac{2p}{5}
2. (B)\frac{2(1-p)}{5}
3. (C)\frac{3p}{5}
4. (D)\frac{3(1-p)}{5}