Rolling a pair of six-sided dice, we have the following sample space:
(a) The probability that the sum of the numbers on your dice is 9 or 11 is
P(X = 9) + P(X = 11)
= 4/36 + 2/36
= 6/36
= 1/6
(b) The probability that the sum of the numbers on your dice is an even number or a number less than 6 is:
P(X = even) + P(X < 6)
= 21/36 + 10/36
= 31/36
(c) The probability that the sum of the numbers on your dice is a prime number or a number greater than 5?
P(X = prime) + P(X > 5)
= 14/36 +
