Two ordinary fair dice are rolled. The product and the sum of the two numbers obtained are

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Two ordinary fair dice are rolled. The product and the sum of the two numbers obtained are calculated.

The score awarded, S, is equal to the absolute (i.e. non-negative) difference between the product and the sum.

For example, if 5 and 3 are rolled, then S = (5 × 3) − (5 + 3) = 7.

a. State the value of S when 1 and 4 are rolled.

b. Draw up a table showing the probability distribution for the 14 possible values of S, and use it to calculate E(S).

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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 03:07 AM

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Two ordinary fair dice are rolled. The product and the sum of the two numbers obtained are

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a If 1 and 4 are rolled the product and the sum are 1 4 4 ...View the full answer

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

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