Chapter 13: Q. 14 (page 865)

In Problems 11–16, construct a probability model for each experiment.
Tossing a fair coin, a fair die, and then a fair coin.

Short Answer

Expert verified

The list of possible outcomes:

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

The probability of each outcome will be $\frac{1}{24}$ .

Step by step solution

Step 1. Given information.

Construct a probability model for experiment: Tossing a fair coin, a fair die, and then a fair coin.

Step 2. Construct probability model.

Considering the following outcomes for a coins, a die and another coin:

First coin - A head (H) or a tail (T), A die - 1,2,3,4,5 and 6 and Second coin - A head (H) or A tail (T).

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

The probability of each outcome will be $\frac{1}{24}$ since each of them appeared once in the sample space with 24 total outcomes. If we will add them together, it will be equal to 1.

Step 3. Conclusion.

The list of possible outcomes:

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

The probability of each outcome will be $\frac{1}{24}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In Problems 11–16, construct a probability model for each experiment.
Tossing a fair coin, a fair die, and then a fair coin.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Construct probability model.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Geometry

Statistics

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Company

Product

Help

In Problems 11–16, construct a probability model for each experiment.Tossing a fair coin, a fair die, and then a fair coin.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Construct probability model.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Geometry

Statistics

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

In Problems 11–16, construct a probability model for each experiment.
Tossing a fair coin, a fair die, and then a fair coin.