Two fair, six-sided dice are rolled. What is the probability that the sum of the two numbers showing is between 3 and 11, inclusive?
Since there are 6 possibilities for the first die and 6 possibilities for the second die, there is a total of 36 different sums.
Of all these sums, only 1 + 1 = 2 and 6 + 6 = 12, falls outside the limits of 3 and 11.
So, there are 34 sums that work, giving a probability of 34/36.
Since there are 6 possibilities for the first die and 6 possibilities for the second die, there is a total of 36 different sums.
Of all these sums, only 1 + 1 = 2 and 6 + 6 = 12, falls outside the limits of 3 and 11.
So, there are 34 sums that work, giving a probability of 34/36.