Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

Ellie rolls two fair tetrahedral dice, each with faces labelled $1, 2, 3,$ and $4$. She records the numbers shown on the faces where the dice come to rest. Event $S$ is ‘the sum of the two numbers is $4$’. Event $T$ is ‘the product of the two numbers is an odd number’.
(i)[5]

Use working to decide whether events $S$ and $T$ are independent.

(ii)[1]

Are events $S$ and $T$ exclusive? Give a justification.

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 $P(S)=\frac{3}{16}$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI