Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

Jason rolls two fair dice, each with faces labelled $1$ to $6$. Event $A$ means ‘exactly one of the numbers obtained is divisible by $3$, while the other is not divisible by $3$’. Event $B$ means ‘the product of the two numbers obtained is even’.
(i)[5]

Find out whether events $A$ and $B$ are independent, and show your calculations.

(ii)[1]

State whether events $A$ and $B$ are mutually exclusive, and justify your answer.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: A reasonable attempt at $P(A)$

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