The distance (in km ) of 30 workers from their residence to their place of work found as follows: 5 3 11 14 20 25 13 32 6 12 18 10 10 12 17 18 13 13 15 2 6 9 8 3 8 6 15 12 17 19 What is the empirical probability that an worker lives less than 8 km from his place of work?

Total outcomes = 30 Favourable outcomes = 7 (less than 8 k m ) Let E 1 denotes the event of getting “less than 8 k m ” P E 1 = 7 30

The distance (in km ) of 30 workers from their residence to their place of work found as follows: 5 3 11 14 20 25 13 32 6 12 18 10 10 12 17 18 13 13 15 2 6 9 8 3 8 6 15 12 17 19 What is the empirical probability that an worker lives: more than or equal to 8 km from his place of work?

Total outcomes = 30 Favourable outcomes = 23 (more than equal to 8 k m ) Let E 2 denotes the event of getting “more than or equal to 8 k m ” P E 2 = 23 30

The distance (in k m ) of 30 workers from their residence to their place of work found as follows: 5 3 11 14 20 25 13 32 6 12 18 10 10 12 17 18 13 13 15 2 6 9 8 3 8 6 15 12 17 19 What is the empirical probability that an worker lives within 1 k m from his place of work?

Total outcomes = 30 Favourable outcomes = 0 (within 1 k m ) Let E 3 denotes the event of getting “with in 1 k m from his place”. P E 3 = 0 30 = 0 .

To know the opinion of the students about the subject mathematics, a survey of 250 students was conducted.The data is recorded in the following table. Opinion Number of student Like 180 Dislike 70 Find the probability that a student chosen at random like Mathematics

Total outcomes = 250 students Favourable outcomes = 180 (like maths) Let E 1 denotes the event of getting “like maths” P E 1 = 180 250 = 18 25 = 0 . 72

To know the opinion of the students about the subject mathematics, a survey of 250 students was conducted. The data is recorded in the following table. Opinion Number of student Like 180 Dislike 70 Find the probability that a student chosen at random Dislike Mathematics

Total outcomes = 250 students Favourable outcomes = 70 (dislike maths) Let E 2 denotes the event of getting “dislike maths” P E 2 = 70 250 = 7 25 = 0 . 28