Chapter 13: Q. 15 (page 865)

In Problems 11–16, construct a probability model for each experiment.
Tossing three fair coins once.

Short Answer

Expert verified

The list of possible outcomes:

$S = \{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}$

The probability of each outcome will be $\frac{1}{8}$ .

Step by step solution

Step 1. Given information.

Construct a probability model for experiment: Tossing three fair coins once.

Step 2. Construct probability model.

Considering the following outcomes for each toss:

First coin - A head (H) or a tail (T), Second coin - A head (H) or A tail (T), Third coin - A head (H) or a tail (T) .

The list of possible outcomes in tossing three coins once will be:

$S = \{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}$

The probability of each outcome will be $\frac{1}{8}$ since each of them appeared once in the sample space with 8 total outcomes. If we will add them together, it will be equal to 1.

Step 3. Conclusion.

The list of possible outcomes: $S = \{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}$

The probability of each outcome will be $\frac{1}{8}$ .

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In Problems 11–16, construct a probability model for each experiment.
Tossing three fair coins once.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Construct probability model.

Step 3. Conclusion.

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In Problems 11–16, construct a probability model for each experiment.Tossing three fair coins once.

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

Geometry

Pure Maths

Probability and Statistics

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

In Problems 11–16, construct a probability model for each experiment.
Tossing three fair coins once.