Chapter 8.6, Problem 70E

To determine

To find; the probability that the two of actually meet, assuming that arrival times are random within the hour.

Answer to Problem 70E

A probability of $\frac{1}{2}=0.5$ is obtained..

Explanation of Solution

Given information:

A friend agree to meet at favorite fast food restaurant between 5.00 and 6.00 P.M. The one who arrives first will wait 15 minutes for the other, after which the first person will leave.

Given figure

  Calculation:

If the first person arrives first, then there are chances that his friend may come or not

So, a probability of $\frac{1}{2}=0.5$ is there.

In the same way, if his friend reaches first, then the first person may reach at the hotal in 15 min or may not reach.

So again a probability of $\frac{1}{2}=0.5$ is obtained.