   Chapter 9.1, Problem 11ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Suppose that a coin is tossed three times and the side showing face up on each toss is noted.Suppose also that on each toss heads and tails are equally likely. Let HHT indicate the outcome heads on the first two tosses and tails on the third,THT the outcome tails on the first and third tosses and heads on the second, and so forth. List the eight elements in the sample space whose outcomes are all the possible head-tail sequences obtained in the three tosses. Write each of the following events as a set and find its probability: (i) The event that exactly one toss results in a head. (ii) The event that at least two tosses result in a head. (iii) The event that no head is obtained.

To determine

(a)

To write:

The eight elements in the sample space whose outcome are all the possible head tail sequences obtained in the three tosses.

Explanation

Given:

We are tossing a coin three times.

Calculation:

There are 8 possible results when we toss a co...

To determine

(b)

To find:

The Probability

1. The event that exactly one toss results in a head.
2. The event that at-least two tosses result in a head.
3. The event that no head.

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