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 $\frac{1}{24}$ .

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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.

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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

Calculus

Geometry

Discrete Mathematics

Decision Maths

Statistics

Mechanics 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.