Chapter 13.3, Problem 13AYU

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

Tossing two fair coins and then a fair die

To determine

To find: The probability model for the given experiment.

Answer to Problem 13AYU

Probability of each event is given by $P\left(E\right)=\frac{1}{24}$.

Explanation of Solution

Given:

Tossing two fair coins, then a fair die.

Formula used:

If $S$ is the sample space of this experiment,

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

Calculation:

Tossing two fair coins, then a fair die.

The sample space $S=\{HH1,HH2,HH3,HH4,HH5,HH6,HT1,HT2,HT3,HT4,HT5,HT6,TH1,TH2,TH3,TH4,TH5,TH6,TT1,TT2,TT3,TT4,TT5,TT6\}$.

Each outcome is equally likely to occur; There are 24 outcomes.

Probability of each event is given by $P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}=\frac{1}{24}$.