Q86 of 116 Page 42

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

False

(a) All odd numbers are 1, 3, 5


No. of odd numbers = 3


⇒ Total number of favourable outcomes = 3


⇒ All Numbers on a dice = 6


⇒ Total number of outcomes = 6




(b) Number greater than 5 is 6


No. of numbers greater than 5 = 1


⇒ Total number of favourable outcomes = 1


⇒ All Numbers on a dice = 6


⇒ Total number of outcomes = 6




(c) Multiples of 3 are 3 and 6


No. of Multiples of 3 = 2


⇒ Total number of favourable outcomes = 2


⇒ All Numbers on a dice = 6


⇒ Total number of outcomes = 6




(d) There is no number less than 1


Hence, probability of less than 1 = 0



(e) Factors of 36 are 1, 2, 3, 4 and 6


No. of Factors of 36 = 5


⇒ Total number of favourable outcomes = 5


⇒ All Numbers on a dice = 6


⇒ Total number of outcomes = 6




(f) Factors of 6 are 1, 2, 3 and 6


No. of Factors of 6 = 4


⇒ Total number of favourable outcomes = 4


⇒ All Numbers on a dice = 6


⇒ Total number of outcomes = 6




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Classify the following statements under appropriate headings.

(a) Getting the sum of angles of a triangle as 180°.


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(c) Sun setting in the evening.


(d) Getting 7 when a die is thrown.


(e) Sun rising from the west.


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