Question

Suppose you roll a pair of six-sided dice and add their totals.(a) What is the probability that the sum of the numbers on your dice is 9 or 11? (b) What is the probability that the sum of the numbers on your dice is an even number or a number less than 6? (c) What is the probability that the sum of the numbers on your dice is a prime number or a number greater than 5?

Answer 1

Answer:

Step-by-step explanation:

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 +