Two dice are thrown and the side of both dice facing up are observed. Which of the following events are mutually exclusive events?
A. A: Both dice are the same number.B: Both dice are even number. B. C: The sum of both dice is even.D: The sum of both dice is a prime number. C. E: One of the dice shows a 2.F: The sum is greater than 8. D. G: The product of both dice is even.H: The sum of both dice is odd.