Discrete Probability

Q.1.

You're given a six sided die. You're told that rolling an even number is as likely as rolling an odd number. You're told that rolling a 1, 2, or 3 is as likely as rolling a 4, 5, or 6. You're told that rolling a 2 is as likely as rolling a 5.

Is the die fair (/uniform)?

Group of answer choices

A. Definitely not.

B. Might be, might not be.

C. Definitely yes.

Q.2

Let Omega be the set of numbers {1, 2, 3, 4, ...., 100} (positive integers from 1 to 100).

Let A be the set of even numbers.

Let B be the set of numbers divisible by 3.

What is | A intersect B | ?