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Chapter 13: Q. 16 (page 865)

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

Short Answer

Expert verified

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

The probability of each outcome will be18.

Step by step solution

01

Step 1. Given information.

Construct a probability model for experiment: Tossing one fair coin three times.

02

Step 2. Construct probability model.  

Considering the following outcomes for each toss:

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

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

S=HHH,HHT,HTH,HTT,THH,THT,TTH,TTT

The probability of each outcome will be 18since 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.

03

Step 3. Conclusion.  

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

The probability of each outcome will be18.

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