   Chapter 14.2, Problem 8E ### 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

# 7 − 20 Probability by Counting These exercises involve finding probabilities by counting.An experiment consists of tossing a coin and rolling a die.(a) Find the sample space.(b) Find the probability of getting heads and an even number.(c) Find the probability of getting heads and a number greater than 4 .(d) Find the probability of getting tails and an odd number.

To determine

(a)

To find:

The sample space.

Explanation

Given:

An experiment consists of tossing a coin and rolling a die.

Calculation:

A coin has two faces and a die has 6 faces.

So, the sample space (S) is,

S={(H,1),(H,2),(H,3),(H,4),(H,5),(H,6),(T,1),(T,2),(T,3),(T,4),(T,5),(T,6)}

To determine

(b)

To find:

The probability of getting heads and an even number.

To determine

(c)

To find:

The probability of getting heads and a number greater than 4.

To determine

(d)

To find:

The probability of getting tails and an odd number.

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