Q. 134.6( 101 Votes )
A die is thrown once. Find the probability of getting
(i) A prime number;
(ii) A number lying between 2 and 6;
(iii) An odd number
Answer :
The possible outcomes when a dice is thrown = {1, 2, 3, 4, 5, 6}
Number of possible outcomes of a dice = 6
(i) Prime numbers on a dice are 2, 3, and 5.
Total prime numbers on a dice = 3
Probability of obtaining a prime number = 
= 
(ii) Numbers lying between 2 and 6 = 3, 4, 5
Total numbers lying between 2 and 6 = 3
Probability of obtaining a number that lies between 2 and 6 = 
= 
(iii) Odd numbers on a dice = 1, 3, and 5
Total odd numbers on a dice = 3
Probability of obtaining an odd number = 
= 
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