Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

Fabio has coffee every morning. He selects Americano, Cappuccino or Latte with probabilities $0.5$, $0.3$ and $0.2$ respectively. If he picks Americano he either drinks it at once with probability $0.8$, or keeps it to drink later. If he picks Cappuccino he either drinks it at once with probability $0.6$, or keeps it to drink later. If he picks Latte he either drinks it at once with probability $0.1$, or keeps it to drink later.
(i)[1]

Find the probability that Fabio selects Americano and keeps it to drink later.

(ii)[4]

Fabio drinks his coffee immediately. Find the probability that he chose Latte.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate calculation of $P(A\ \text{Later}) = 0.5 \times 0.2 = 0.1$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI