Chapter 11.8, Problem 11WE

To determine

To Find: The probability that both pieces of wire will be at least $1in.$ long.

Answer to Problem 11WE

  $\frac{2}{3}$

Explanation of Solution

Given: A piece of wire $6m$ is long is cut into two pieces at a random point.

Probability that one of the pieces will be shorter than $1in.$

  $\frac{1}{6}+\frac{1}{6}=\frac{1}{3}$

Therefore

Probability that both pieces are longer than $1in.$

  $1-\frac{1}{3}=\frac{2}{3}$

Hence, the probability is $\frac{2}{3}$ .