# A dice is rolled once. What is the probability that the number on top will be

(a) Odd

(b) Greater than 5

(c) A multiple of 3

(d) Less than 1

(e) A factor of 36

(f) A factor of 6

**Solution:**

when a dice is rolled

(a) Probability of getting an odd number is 3/6 = 1/2

(b) We have only one face with value greater than 5, hence, the probability is 1/6

(c) We have only two multiples of 3 on dice face, hence, the probability 2/6 = 1/3

(d) There is no number less than 1 on dice, hence the probability is 0

(e) Factors of 36 are 1, 2, 3, 4, 6, hence probability is 5/6

(f) Factors of 6 are 1, 2, 3, 6 hence probability is 4/6 = 2/3

**✦ Try This:** A dice is rolled once. What is the probability that the number on top will be (a) even, (b) Greater than 6, (c) A multiple of 2, (d) Less than 2, (e) A factor of 18, (f) A factor of 4

**☛ Also Check: ** NCERT Solutions for Class 8 Maths Chapter 5

**NCERT Exemplar Class 8 Maths Chapter 2 Problem 86**

## A dice is rolled once. What is the probability that the number on top will be (a) Odd, (b) Greater than 5, (c) A multiple of 3, (d) Less than 1, (e) A factor of 36, (f) A factor of 6

**Summary:**

A dice is rolled once. What is the probability that the number on top will be (a) Odd = 1/2, (b) Greater than 5 = 1/6, (c) A multiple of 3 = 1/3, (d) Less than 1 = 0, (e) A factor of 36 = 5/6, (f) A factor of 6 = 2/3

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