Mathematics 9709 · AS & A Level · Probability

Probability — practice question

Each Monday evening, Rani prepares her meal. She eats a pizza, a burger, or a curry with probabilities $0.35$, $0.44$, $0.21$ respectively. If she cooks a pizza, Rani has some fruit with probability $0.3$. If she cooks a burger, she has some fruit with probability $0.8$. If she cooks a curry, she never has any fruit.
(a)[2]

Construct a fully labelled tree diagram to show this information.

(b)[2]

Find the probability that Rani has some fruit with her meal.

(c)[4]

Find the probability that Rani does not have a burger provided that she has no fruit.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: A fully correct labelled tree diagram for method of transport

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