Q. 864.3( 3 Votes )

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

Answer :

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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