A shop stocks tinned cat food of two makes, A and B, and two sizes, large and

Question:

A shop stocks tinned cat food of two makes, A and B, and two sizes, large and small. Of the stock, 70% is of brand A, 30% is of brand B. Of the tins of brand A, 30% are small size whilst of the tins of brand B, 40% are small size. Using a tree diagram, or otherwise, find the probability that

(a) a tin chosen at random from the stock will be of small size,

(b) a small tin chosen at random from the stock will be of brand A. (L)

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