(i) an even prime number.
(ii) a number greater than 4.
(iii) an odd number.
The correct answer :The sample space for rolling a die once is {1, 2, 3, 4, 5, 6} and each outcome is equally likely.
(i) There are three even numbers in the sample space (2, 4, and 6), but only one of them is also prime, which is 2. Therefore, the probability of rolling an even prime number is 1/6.
(ii) There are two numbers in the sample space that are greater than 4 (5 and 6). Therefore, the probability of rolling a number greater than 4 is 2/6, which simplifies to 1/3.
(iii) There are three odd numbers in the sample space (1, 3, and 5). Therefore, the probability of rolling an odd number is 3/6, which simplifies to 1/2.
