
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question

Transcribed Image Text:A pair of dice is rolled. Find the probability of rolling
a) a sum not more than 9,
b) a sum not less than 3,
c) a sum between 5 and 9 (exclusive).
a) The probability of rolling a sum not more than 9
is.
(Type an integer or a simplified fraction.)
Expert Solution

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Step 1
It is given that a pair of dice is rolled. The sample space is
S = { (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) }
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