Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

There are twelve coins thrown and laid out in a row, and each one may display either a head or a tail.
(i)[2]

Find how many distinct head-and-tail arrangements can be made.

(ii)[1]

Find how many distinct arrangements contain $7$ heads and $5$ tails.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Observing that each outcome can happen in $2^{12}$ ways” …

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