Question

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 1

Total number of case, n(S) = Area of rectangle
`=3xx2=6m^(2)`
Favourable number of cases, n(E) = Area of circle
`=pi((1)/(2))^(2)=(pi)/(4)m^(2)`
`therefore" Probability that the die land inside the circle "=(n(E))/(n(S))=(pi//4)/(6)=(pi)/(24)`