You are given a dart board of radius R cm. What is the probability that you hit

Question

You are given a dart board of radius R cm. What is the probability that you hit the bull's eye of radius r cm?

Options:

A . r2R2

B . rR

C . Rr

D . 1

Answer: Option A
:
A
Area of board =

π

R^{2}

Area of bull's eye =

π

r^{2}

Here, weshalluse the concept of geometric probability as the number of outcomes are not finite.

The probability of hitting the bull's eye

= \frac{Area of the bull's eye}{Area of the board}

\frac{π . r^{2}}{π . R^{2}}

\frac{r^{2}}{R^{2}}

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