Exam-Style Problem

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9709 P62 - Nov 2009 - Q3
2638

Maria chooses toast for her breakfast with probability 0.85. If she does not choose toast then she has a bread roll. If she chooses toast then the probability that she will have jam on it is 0.8. If she has a bread roll then the probability that she will have jam on it is 0.4.

(i) Draw a fully labelled tree diagram to show this information.

(ii) Given that Maria did not have jam for breakfast, find the probability that she had toast.

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