   Chapter 9.5, Problem 13ES ### 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
6 views

# A coin is tossed ten times. In each case the outcome H (for heads) or T (for tails) is recorded. (One possible outcome of the ten tosses is denoted T H H T T T H T T H.) a. What is the total number of possible outcomes of the coin-tossing experiment? b. In how many of the possible outcomes are exactly five heads obtained? c. In how many of the possible outcomes are at least eight heads obtained? d. In how many of the possible outcomes is at least one head obtained? e. In how many of the possible outcomes is at most one head obtained?

To determine

(a)

To find:

The total number of possible combinations of tossing a coin 10 times.

Explanation

Given information:

A coin is tossed 10 times and each outcome are recorded. Heads are denoted by H and tails are denoted by T.

Calculation:

In this trial, only head or tail can be obtained as the outcome

To determine

(b)

To find:

The number of ways to obtain exactly 5 heads.

To determine

(c)

To find:

The number of ways to obtain at least eight heads out of ten outcomes.

To determine

(d)

To find:

The number of possible ways to obtain at least one head.

To determine

(e)

To find:

The number of combinationsthat has at most one head on the ten outcomes.

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