What is the probability of rolling a total of 7 with two dice at least once in 10 rolls?
1 Answer
Explanation:
When rolling 2 dice there are 36 possible outcomes.
[to see this imagine one die is red and the other green; there are 6 possible outcomes for the red die and for each of these red outcomes there are 6 possible green outcomes].
Of the 36 possible outcomes 6 have a total of 7:
That is
We will not get a total of
Of the
we will not get a
That is
Continuing with this reasoning, we see that we will not get a total of
With the help of a calculator we find that we will not get a total of
This implies that we will get a total of