Chapter 13: Q. 11 (page 865)

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

Short Answer

Expert verified

The list of possible outcomes : $S = \{H H, H T, T H, T T\}$ .

The probability of each outcome : $P (H H) = \frac{1}{4}, P (H T) = \frac{1}{4}, P (T H) = \frac{1}{4}, P (T T) = \frac{1}{4}$

Step by step solution

Step 1. Given information.

Construct a probability model for experiment: Tossing a fair coin twice.

Step 2. Construct probability model.

Considering the following outcomes for each toss:

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

The list of possible outcomes in tossing a coin twitch will be:

$S = \{H H, H T, T H, T T\}$

The probability of each outcome will be

localid="1647515505298" $P (H H) = \frac{1}{4}, P (H T) = \frac{1}{4}, P (T H) = \frac{1}{4}, P (T T) = \frac{1}{4}$

We got this since of them appeared once in the sample space with 4 total outcomes. If we will add them together, it will equal 1.

Step 3. Conclusion.

The list of possible outcomes:

$S = \{H H, H T, T H, T T\}$

The probability of each outcome:

$P (H H) = \frac{1}{4}, P (H T) = \frac{1}{4}, P (T H) = \frac{1}{4}, P (T T) = \frac{1}{4}$

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

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 twice.

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

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

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