A shop stocks 2 brands of tinned food A and B. Each brand has 2 sizes, large and small. The total stock contains 70% of brand A and 30% of brand B. For the tins of brand A, 30% are small size whilst brand B, 40 % are large size. Using a tree diagram, find the probability that:

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A shop stocks 2 brands of tinned food A and B. Each brand has 2 sizes, large and small.
The total stock contains 70% of brand A and 30% of brand B. For the tins of brand A, 30%
are small size whilst brand B, 40 % are large size. Using a tree diagram, find the probability
that:
i. A tin chosen at random from the stock will be Brand A and of a small size.
ii. A tin chosen at random from the stock will be Brand B and of a large size

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