(Q17) Suppose you drop a die at random on the rectangular region shown in figure. What is the probability that it will land inside the circle with diameter 1m ?

Answer :

Length of the given rectangle = 3m. and its breadth = 2m.

Area of the rectangle = length × breadth = m2

∴ Total area of the region for landing = m2

Diameter of the given circle = m.

Area of the circle =
πd2
4
 =
22
7
 ×
×
4
 =
28
∴ Probability of the coin to land on the circle =
(/28)
 =
28 ×
=
=
11