Question

The table gives the information regarding votes given for a sport. The probability that both girls and boys like football is.

• A. $\frac{10}{81}$
• B. $\frac{81}{10}$
• C. $\frac{50}{81}$
• D. $\frac{1}{81}$

Answer 1

The correct option is A $\frac{10}{81}$

Probability of girls liking football is

${\text{P}}_1=\frac{45}{135}$

Probability of boys liking football is

${\text{P}}_2=\frac{50}{135}$

∴ Probability of both boys and girls liking football is
$\text{P}={\text{P}}_1\times {\text{P}}_2=\frac{45}{135}\times \frac{50}{135}$

$=\frac{2250}{18225}=\frac{10}{81}$