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2.3.2 Diagrams to assist probability calculations

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Question 20

Two bags, A A\,A and BBB, contain red, green and yellow counters. Bag A A\,A contains 3 red counters, 2 green counters and 4 yellow counters. Bag B B\,B contains 5 red counters, 4 green counters and 1 yellow counter. Taylor picks one counter at random from bag A A\,A and places it into bag BBB. She then picks one counter at random from bag BBB.

a.

Draw a tree diagram to represent this information.

[2]
b.

Find the probability that Taylor picks two counters of the same colour.

[2]
c.

Given that both counters are the same colour, find the probability they are both yellow.

[2]

2.3.2 Diagrams to assist probability calculations Questions

  1. A Level
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  3. /2.3.2 Diagrams to assist probability calculations