Question

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

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

Answer 1

The correct option is B

$\frac{1}{6}$

Applying geometric approach to probability,
Probability of bullets hitting the circle is,
$P\left(E\right)=\frac{Areaofthecircle}{Areaoftherectangle}\Rightarrow P\left(E\right)=\frac{\frac{22}{7}\times 7\times 7}{44\times 21}=\frac{154}{924}=\frac{1}{6}$