For the experiment of tossing a six sided die twice, what is the probability that...
For the experiment of tossing a six sided die twice, what is the probability that the sum is less than 11?
Answer & Explanation
Without loss of generality we could assume that one die is and the other is
For each of the 6 outcomes there are 6 outcomes.
This means that there are a combined collection of possible outcomes.
Of the 36 possible outcomes only 3 result in totals greater than on equal to 11; namely
Therefore, there are possible outcomes for which the sum is less than 11.
Since each outcome is (assumed to be) equally probable,