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Chapter 13: Q. 11 (page 865)

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

Tossing a fair coin twice.

Short Answer

Expert verified

The list of possible outcomes : S=HH,HT,TH,TT.

The probability of each outcome :PHH=14,PHT=14,PTH=14,PTT=14

Step by step solution

01

Step 1. Given information.

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

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 tail (T) or A head (H).

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

S=HH,HT,TH,TT

The probability of each outcome will be

localid="1647515505298" PHH=14,PHT=14,PTH=14,PTT=14

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.

03

Step 3. Conclusion.

The list of possible outcomes:

S=HH,HT,TH,TT

The probability of each outcome:

PHH=14,PHT=14,PTH=14,PTT=14

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