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

## 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

\[=\frac{\begin{bmatrix} \text { Number of}\\ \text{ possible outcomes }\end{bmatrix} }{ \begin{bmatrix}\text { Total no of} \\ \text{favorable outcomes} \end{bmatrix} }\]

**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 \(\begin{align}=\frac{5}{13}\end{align}\)