Suppose you drop a tie at random on the rectangular region shown in fig. below. What is the probability that it will land inside the circle with diameter ?

Formula of getting the probability is probability= number of favorable outcomes/ total number of outcomes.

So, area of a circle with radius A circle

Area of rectangle

Probability= measure of specified region part/ measure of whole region

The probability that tie will land inside the circle with diameter

= area of circle/ area of rectangle

Therefore, the probability that the tie will land inside the circle