Chapter MPS, Problem 12.6MPS

a.

To determine

Find the probability that Henry owns a vehicle.

Answer to Problem 12.6MPS

  $\frac{74}{75}$

Explanation of Solution

Given information:

The table shows the number of students who have a driver’s license and the number who own a personal vehicle.

  $\begin{array}{ccc}Own?& License& No-License\\ Y& 148& 2\\ N& 124& 86\end{array}$

Calculation:

Consider the table:

  $\begin{array}{ccc}Own?& License& No-License\\ Y& 148& 2\\ N& 124& 86\end{array}$

The probability is calculated below.

  $\begin{array}{l}\frac{148}{150}\\ =\frac{74}{75}\end{array}$

Hence, the probability is $\frac{74}{75}$ .

b.

To determine

Find the probability that Anton does not have a license.

Answer to Problem 12.6MPS

  $\frac{43}{105}$

Explanation of Solution

Given information:

The table shows the number of students who have a driver’s license and the number who own a personal vehicle.

  $\begin{array}{ccc}Own?& License& No-License\\ Y& 148& 2\\ N& 124& 86\end{array}$

Calculation:

Consider the table:

  $\begin{array}{ccc}Own?& License& No-License\\ Y& 148& 2\\ N& 124& 86\end{array}$

The probability is calculated below.

  $\begin{array}{l}\frac{86}{210}\\ =\frac{43}{105}\end{array}$

Hence, the probability is $\frac{43}{105}$ .

c.

To determine

Find the probability that Morgan does not have a license.

Answer to Problem 12.6MPS

  $\frac{43}{105}$

Explanation of Solution

Given information:

The table shows the number of students who have a driver’s license and the number who own a personal vehicle.

  $\begin{array}{ccc}Own?& License& No-License\\ Y& 148& 2\\ N& 124& 86\end{array}$

Calculation:

Consider the table:

  $\begin{array}{ccc}Own?& License& No-License\\ Y& 148& 2\\ N& 124& 86\end{array}$

The probability is calculated below.

The probability is calculated below.

  $\begin{array}{l}\frac{86}{210}\\ =\frac{43}{105}\end{array}$

Hence, the probability is $\frac{43}{105}$ .