(i)[2]
Show that the probability that exactly 2 hamsters are chosen is $\frac{10}{21}$.
(ii)[4]
Construct the probability distribution table for $X$.
Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
A pet shop keeps 6 rabbits and 3 hamsters. 5 of these animals are picked at random. The random variable $X$ is the number of hamsters picked.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies combinations, e.g. $P(2) = \frac{^6C_3 \times ^3C_2}{^9C_5}$ or an equivalent method” …
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