A pair of dice is rolled. Find the probability of rollinga) 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 9is.(Type an integer or a simplified fraction.)

Answered: A pair of dice is rolled. Find the…

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 First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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

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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