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)=(11)/(36)=`

(b) Even or less than 6:

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

(c) The sum is a prime number:

`P(\text{ Prime\rparen}=(14)/(36)=(7)/(18)`