# Ex.15.1 Q11 Probability Solution - NCERT Maths Class 10

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## Question

Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing $$5$$ male fish and $$8$$ female fish . What is the probability that the fish taken out is a male fish?

## Text Solution

What is known?

A tank containing 5 male fish and 8 female fish

What is unknown?

The probability that the fish taken out is a male fish?

Rasoning:

This question can be solved easily by using the formula

Probability of an event \begin{align}=\frac{\text{Number of possible outcomes}}{\text{Total no of favourable outcomes}}\end{align}

Steps:

No of male fish $$=5$$
No of female fish $$=8$$
Total no of fishes $$5+8=13$$

Probability that the fish taken out is a male fish \begin{align}=\frac{\text{No of male fish}}{\text{Total no of fishes}}\end{align}

Probability that the fish taken out is a male fish \begin{align}=\frac{5}{13}\end{align}