   Chapter 14.2, Problem 20E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# A pair of dice is rolled, and the numbers showing are observed.a) List the sample space of this experiment.b) Find the probability of getting a sum of 7 .c) Find the probability of getting a sum of 9 .d) Find the probability that the two dice show doubles( the same number).e) Find the probability that the two dice show different numbers.f) Find the probability of getting a sum of 9 or higher.

To determine

(a)

To find:

The sample space of the experiment

Explanation

Given:

A pair of dice is rolled.

Calculation:

Let S be the sample space of the experiment.

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),

To determine

(b)

To find:

The probability of getting a sum of 7

To determine

(c)

To find:

The probability of getting a sum of 9

To determine

(d)

To find:

The probability that the two sides show doubles

To determine

(e)

To find:

The probability that the two sides show different numbers

To determine

(f)

To find:

The probability of getting a sum of 9 or higher

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