Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 14

Expert-verified
Precalculus Enhanced with Graphing Utilities
Found in: Page 865
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

In Problems 11–16, construct a probability model for each experiment.

Tossing a fair coin, a fair die, and then a fair coin.

The list of possible outcomes:

S={H1H, H2H, H3H, H4H, H5H, H6H, H1T, H2T, H3T, H4T, H5T, H6T, T1H, T2H, T3H, T4H, T5H, T6H, T1T, T2T, T3T, T4T, T5T, T6T}

The probability of each outcome will be 124.

See the step by step solution

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={H1H, H2H, H3H, H4H, H5H, H6H, H1T, H2T, H3T, H4T, H5T, H6T, T1H, T2H, T3H, T4H, T5H, T6H, T1T, T2T, T3T, T4T, T5T, T6T}

The probability of each outcome will be 124 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={H1H, H2H, H3H, H4H, H5H, H6H, H1T, H2T, H3T, H4T, H5T, H6T, T1H, T2H, T3H, T4H, T5H, T6H, T1T, T2T, T3T, T4T, T5T, T6T}

The probability of each outcome will be 124.

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.