Question

Given a dart board of radius 50 cm, the probabilityof hitting the bull's eye of radius 5 cm is .

• A. 1
• B. 0.1
• C. 0.01
• D. 0.2

Answer 1

The correct option is C 0.01

Area of board = $\pi$ $\times$ ${50}^2$ = 2500$\pi$

Area of bull's eye = $\pi$ $\times$ $5^2$ = 25$\pi$
The probability of hitting the bull's eye= $\frac{\text{Area of required region}}{\text{Total area}}$ = $\frac{25\pi }{2500\pi }$ = $\frac{1}{100}$