Question

A fish tank has $5$ male fish and $8$ female fish. What is the probability of fish taken out is a male fish?

• A. $\frac{5}{8}$
• B. $\frac{8}{13}$
• C. $\frac{5}{13}$
• D. $\frac{8}{5}$

Answer 1

The correct option is C $\frac{5}{13}$

$\underset{–}{\text{Given}:}$
$\bullet$ Number of male fish in the fish tank $=5$
$\bullet$ Number of female fish in the fish tank $=8$

$\underset{–}{\text{Need to Find}:}$
Probability of fish taken out from the fish tank is a male

Total number of fish in the fish tank
$=$ Number of male fish $+$ Number of female fish
$=5+8$
$=13$

$\therefore$ Total number of possible outcomes $=13$

Number of favorable outcomes
$=$ Number of male fish
$=5$

$\text{P(a male fish)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

$\Rightarrow \text{P(a male fish)}=\frac{5}{13}$

Hence, probability of fish taken out from the fish tank is a male
is $\frac{5}{13}.$

Therefore, option (c.) is the correct choice.