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 7 or 6? (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: We provided that the two fair dice are rolled, we have to answer the following:

(a) Probability that the sum is 7 or 6:

$P(6,7)=\frac{11}{36}=$

(b) Even or less than 6:

$P(\text{ Even,}<6)=\frac{4}{36}=\frac{1}{9}$

(c) The sum is a prime number:

$P(\text{ Prime\rparen}=\frac{14}{36}=\frac{7}{18}$