Question

Two athletes are running on a circular track of perimeter 440 meters. Range of eyesight of each athlete is 70 meters. What is the probability that both athletes cannot see each other at a given point of time

Answer 1

0...??...............

Answer 2

Answer: Our required probability is 0.68.

Step-by-step explanation:

Since we have given that

Perimeter of circular athletes = 440 meters

Range of eyesight of each athlete = 70 meters

Front line of sight = 70 meters

Rear line of sight = 70 meters

We need to find the probability that both athletes cannot see each other at a given point of time.

So, Range of eyesight that both athlete cannot see each other is given by

$440-140=300$

So, Probability that both athletes cannot see each other at a given point of time is given by

$\dfrac{300}{440}\\\\=\dfrac{30}{44}\\\\=0.68$

Hence, our required probability is 0.68.