Question

Suppose that you remain in the store for 15 minutes, and your friend remains in the store for 10 minutes. If each one of you arrives at random times between 1:00 PM and 2:00 PM, what is the probability that the two of you will be in the store at the same time?

Answer 1

Answer:

P = 0.23375

Step-by-step explanation:

given,

you remain in store for 15 minutes.

you friend remains in store for 10 minutes.

probability that they are store at the same time

from the graph attached below

shaded region shows the required probability,.

probability of the square = 1

probability of the shaded region = 1 - (area of lower triangle - area of upper triangle)

 area of lower triangle = \dfrac{1}{2}(0.85)(0.85)

                                      = 0.36125

area of the upper triangle = \dfrac{1}{2}(0.9)(0.9)

                                      = 0.405

probability of the shaded region = 1 - (0.36125+0.405)

                                                      = 0.23375