# Refer to Q.2, Exercise 14.2. What is the empirical probability that an engineer lives:

(i) less than 7 km from her place of work?

(ii) more than or equal to 7 km from her place of work?

(iii) within 1/2 km from her place of work?

**Solution:**

The probability of a certain event is given by the ratio of occurrence of a particular event by the total number of events.

Probability of an event, P(E) = Number of instances that event takes place/Total number of instances

Total number of engineers = 40

Number of engineers who live less than 7 km from their place of work = 9

Number of engineers who live more than or equal to 7 km from their workplace = 31

Number of engineers who live within 1/2 km from their place of work = 0

(i) Probability of an engineer who lives less than 7 km from their place of work = 9/40

(ii) Probability of an engineer who lives more than or equal to 7 km from their place of work = 31/40

(iii) Probability of an engineer who lives within 1/2 km from their place of work = 0/40 = 0

**Video Solution:**

## Refer to Q.2, Exercise 14.2. What is the empirical probability that an engineer lives: (i) less than 7 km from her place of work? (ii) more than or equal to 7 km from her place of work? (iii) within 1/2 km from her place of work?

### NCERT Solutions for Class 9 Maths - Chapter 15 Exercise 15.1 Question 8:

**Summary:**

We have found that the probability of an engineer who lives (i) less than 7 km from her place of work = 9/40, (ii) more than or equal to 7 km from her place of work = 31/40, and (iii) within 1/2 km from her place of work = 0