Mathematics 9709 · AS & A Level · Probability

Probability — practice question

At bedtime, Suki drinks either chocolate, tea or milk, with probabilities $0.45$, $0.35$ and $0.2$ respectively. If she chooses chocolate, the chance that she also takes a biscuit is $0.3$. If she chooses tea, the chance that she also takes a biscuit is $0.6$. If she chooses milk, she never takes a biscuit.
(main)[5]

Find the probability that Suki has tea given that she does not have a biscuit.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies the conditional probability formula $P(T|B')=\frac{P(T\cap B')}{P(B')}$.

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