Chapter 11.8, Problem 1CE

(a)

To determine

To Find: The probability that $P$ is on $\overline{RS}$ .

Answer to Problem 1CE

  $\frac{1}{5}$

Explanation of Solution

Given: A point $P$ is picked at a random on $RW$ .

  

  $\begin{array}{l}RW=5\\ RS=1\\ probability=\frac{RS}{RW}=\frac{1}{5}\end{array}$

Hence, the probability is $\frac{1}{5}$ .

(b)

To determine

To Find: The probability that $P$ is on $\overline{SV}$ .

Answer to Problem 1CE

  $\frac{3}{5}$

Explanation of Solution

Given: A point $P$ is picked at a random on $RW$ .

  

  $\begin{array}{l}RW=5\\ SV=3\\ probability=\frac{SV}{RW}=\frac{3}{5}\end{array}$

Hence, the probability is $\frac{3}{5}$ .

(c)

To determine

To Find: The probability that $P$ is on $\overline{SW}$ .

Answer to Problem 1CE

  $\frac{4}{5}$

Explanation of Solution

Given: A point $P$ is picked at a random on $RW$ .

  

  $\begin{array}{l}RW=5\\ \overline{SW}=4\\ probability=\frac{SW}{RW}=\frac{4}{5}\end{array}$

Hence, the probability is $\frac{4}{5}$ .

(d)

To determine

To Find: The probability that $P$ is on $\overline{RW}$ .

Answer to Problem 1CE

  $1$

Explanation of Solution

Given: A point $P$ is picked at a random on $RW$ .

  

  $\begin{array}{l}RW=5\\ probability=\frac{RW}{RW}=\frac{5}{5}=1\end{array}$

Hence, the probability is $1$ .

(e)

To determine

To Find: The probability that $P$ is on $\overline{XY}$ .

Answer to Problem 1CE

  $0$

Explanation of Solution

Given: A point $P$ is picked at a random on $RW$ .

  

  $\overline{XY}$ is not lie on $RW$

Thus

  $probability=0$

Hence, the probability is zero.

(f)

To determine

To Find: The probability that $P$ is on $\overline{RY}$ .

Answer to Problem 1CE

  $1$

Explanation of Solution

Given: A point $P$ is picked at a random on $RW$ .

  

  $\begin{array}{l}RW=5\\ \overline{RY}=7\end{array}$

The part $WY$ is not lie on $RW$

Therefore

  $probability=\frac{RW}{RW}=\frac{5}{5}=1$

Hence, the probability is $1$ .