Probability Problem Draw the sample space for all possible o

Probability Problem:

Draw the sample space for all possible outcomes of tossing a pair of fair, six sided dice. What is the probability of not getting a 7 or 11 total on a single toss of the pair of dice?

Thanks in advance.

Solution

There are 36 ways to toss two dice.

There are 6 ways to get a sum of 7, and 2 ways to get an 11, for a total of 8 ways to get either a 7 or 11.

Thus,

P(not 7 or 11) = 1 - P(7 or 11) = 1 - 8/36

= 0.77777777778 [ANSWER]