Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

Noor has $3$ T-shirts, $4$ blouses and $5$ jumpers. She selects $3$ items at random. The random variable $X$ gives the number of T-shirts selected.
(i)[3]

Show that the probability that Noor selects exactly one T-shirt is $\frac{27}{55}$.

(ii)[4]

Construct the probability distribution table for $X$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Unsimplified numerator written correctly, for example ${}^3C_1\times{}^9C_2$

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