A fair dice is rolled and the sample space is given as S = {1, 2, 3, 4, 5, 6}. Which of the following statements is true?
A)All outcomes in the sample space S are equally likely.
B)The events A = {even number} and B = {odd number} are equally likely.
C)The events A = {even number} and C = {number less than 4} are equally likely.
D)All of the answer options are correct.

Question

Quizplus · Accepted Answer

A fair dice has all outcomes equally likely, making both A and B true. For C, there are 3 even numbers (2, 4, 6) and 3 numbers less than 4 (1, 2, 3), making them equally likely as well.

A Fair Dice Is Rolled and the Sample Space Is