Two ordinary fair dice are rolled. Event A is the sum of the numbers rolled is 2,

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Two ordinary fair dice are rolled.

Event A is ‘the sum of the numbers rolled is 2, 3 or 4’.

Event B is ‘the absolute difference between the numbers rolled is 2, 3 or 4’.

a. When the dice are rolled, they show a 1 and a 3. Explain why this result shows that events A and B are not mutually exclusive.

b. Explain how you know that P(A ∩ B) = 1/18.

c. Determine whether events A and B are independent.

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Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

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Question Posted: Sep 13, 2021 01:31 AM

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Two ordinary fair dice are rolled. Event A is the sum of the numbers rolled is 2,

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a When the dice are rolled and they show a 1 and a 3 the sum of the numbers rolled is 4 1 3 which is ...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

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