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Suppose you drop a die at random on the ...

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?

A

`(pi)/(8)`

B

`(pi)/(6)`

C

`(pi)/(4)`

D

`(pi)/(24)`

Text Solution

Verified by Experts

The correct Answer is:
D
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)`
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