Question

Number from 1 to 15 is written on 15 different slips (one number on each slip). They are mixed keeping in box. A slip is taken out without looking into box. What is the probability of following?

(i) Obtaining number 5.

(ii) Obtaining a number having two digits.

(iii) Obtaining a number having one digit.

Answer 1

Total no. of slips = 15

∴Total number of outcomes = 15

(i) Total number of favorable events = 1 (5)

∴Required Probability = 1/15

(ii) Total number of favorable events = 6 (10, 11, 12, 13, 14, 15)

∴Required Probability = 6/15 = 2/5

(iii) Total number of favorable events = 9 (1, 2, 3, 4, 5, 6, 7, 8, 9

∴Required Probability = 9/15 = 3/5