Question

Shooters are required to shoot at a circular shaped target. The target is fixed onto a rectangular board with dimensions $44cm\times 21cm$. Assuming that all the bullets must hit the rectangular board, what is the probability that the bullets hit the circular target? (Given that the radius of the circle is 7 cm. )

• A. $\frac{1}{2}$
• B. $\frac{3}{7}$
• C. $\frac{1}{6}$
• D. $0$

Answer 1

The correct option is C

$\frac{1}{6}$

By geometric probability, we have,
Probability of bullets hitting the circle is,
$P\left(E\right)=\frac{\text{area of the circle}}{\text{area of the rectangle}}\Rightarrow P\left(E\right)=\frac{\frac{22}{7}\times 7\times 7}{44\times 21}=\frac{154}{924}=\frac{1}{6}$