Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

Three friends, Rick, Brenda and Ali, attend a football match but do not agree on which entrance to the ground they will use to meet. The ground has four entrances, $A$, $B$, $C$ and $D$. Each friend selects an entrance independently.
(i)[4]

Find the probability that entrance $B$ is selected by at least 2 friends.

(ii)[4]

Find the probability that the three friends all pick the same entrance.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correctly work out the probability for each person and each entrance

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