# Ex.15.1 Q1 Probability Solution - NCERT Maths Class 9

## Question

In a cricket match, a batswoman hits a boundary \(6\) times out of \(30\) balls she plays. Find the probability that she did not hit a boundary.

** **

** Video Solution**

**Probability**

**Ex exercise-15-1 | Question 1**

**
**

## Text Solution

**What is known?**

Total number of balls played and number of times the batswoman hits boundary.

**What is unknown?**

Probability of the batswoman not hitting a boundary.

**Reasoning:**

If the batswoman hits a boundary \(6\) times out of \(30\) balls then she will not hit a boundary in the remaining \(24\) balls.

The empirical probability \(P(E)\) of an event \(E\) happening, is given by:

\(\begin{align}{P}({E})=\frac{ \begin{bmatrix} \text { Number of trials in which }\\ \text{the event happened } \end{bmatrix} }{ \begin{bmatrix} \text { The total number} \\ \text{of trials } \end{bmatrix} }\end{align}\)

**Steps:**

Number of balls played \(= 30\)

Number of balls the batswoman hits boundary \(= 6\)

Number of balls the batswoman does not hit a boundary \(= 30 - 6 = 24\)

\(P\)(bats - woman does not hit the boundary)

\[\begin{align} & = \frac{ \begin{bmatrix}\text{Number of times the bats-woman}\\ \text{ does not hit the boundary} \end{bmatrix}} {\text{Number of balls played}} \\ & = 24/30 \\ &= 4/5 \end{align}\]