A dice is thrown, what is the probability of getting multiples of 3?

Category: QuestionsA dice is thrown, what is the probability of getting multiples of 3?
Editor">Editor Staff asked 11 months ago

A dice is thrown, what is the probability of getting multiples of 3?
 
(a) 1/8
 
(b) 1/6
 
(c) 1/2
 
(d) 1/3
 
The question was asked in an international level competition.
 
Enquiry is from Random Variables and its Probability Distributions topic in portion Probability of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

Correct choice is (d) 1/3
 
For explanation: Possible outcomes when a dice is thrown = {1, 2, 3, 4, 5, 6}
 
Multiples of 3 = {3, 6}
 
Total probability =
numberofmultiplesof3
numberofpossibleoutcomes
=
2
6
=
1
3