Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

Emma has to select one person at random from the three people $P$, $Q$ and $R$. Her plan is to toss two fair coins and count the number, $n$, of heads. If $n$ equals 0, she will select $P$. If $n$ equals 1, she will select $Q$. If $n$ equals 2, she will select $R$.
(a)[2]

Show, by using probabilities, that the choice made by this method is not random.

(b)[2]

Describe how Emma could use one throw of a fair six-sided dice to make this random choice.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The probabilities are not equal

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