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:

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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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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