Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

The spinner is fair and has five sides labelled $1, 2, 3, 4, 5$. Raj spins it and then throws two fair dice. His score is determined as follows: when the spinner lands on an even-numbered side, Raj multiplies the two dice results to obtain his score. When the spinner lands on an odd-numbered side, Raj adds the two dice results to obtain his score.
(main)[6]

Given that Raj’s score is $12$, determine the probability that the spinner landed on an even-numbered side.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Working out $P(E\cap 12)=\frac{2}{5}\times\frac{4}{36}$

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