Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

A shop stocks two brands of coffee, Café Premium and Café Standard. Each brand is sold in two sizes, large jars and small jars. Among the jars available, $65\%$ are Café Premium and $35\%$ are Café Standard. For Café Premium, $40\%$ of the jars are large, while for Café Standard, $25\%$ of the jars are large. One jar is selected at random.
(i)[2]

Find the probability that the jar is small.

(ii)[3]

Find the probability that the jar is Café Standard given that it is large.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Writes $P(S)=0.65\times0.6+0.35\times0.75$ or an equivalent form

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