Question

Numbers 100 to 125 are written on separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking in to it. What is the probability of getting a) A number 108? B) a number less than 107 c) A number greater than 120?

Answer 1

Explanation:

The numbers are given as;

100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125

What is the probability of getting;

a) A number 108?

Probability = Number of favorable outcomes / Total number of outcomes

Number of favourable outcome = 1

Total number of outcomes = 26

Probability = 1 / 26

B) a number less than 107

Probability = Number of favorable outcomes / Total number of outcomes

Number of favourable outcome = 100, 101, 102, 103, 104, 105, 106 = 7

Total number of outcomes = 26

Probability = 7 / 26

c) A number greater than 120

Probability = Number of favorable outcomes / Total number of outcomes

Number of favourable outcome = 121, 122, 123, 124, 125 = 5

Total number of outcomes = 26

Probability = 5 / 26