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a pair of dice are rolled. given that both dice rolls are less than 5, find the probability that the sum of the rolls is six

Solution

a pair of dice are rolled. given that both dice rolls are less than 5, find the probability that the sum of the rolls is six

Solution

\frac{5}{36}

Solution steps

The possible outcomes when two dice are rolled are

6 \cdot 6

Therefore, the number of possible outcomes:

6^{2}

Find the number of favorable outcomes of the sum of the rolls is 6:

5

Probability

= \frac{number of favorable outcomes}{total number of outcomes}

= \frac{5}{6 ^{2}}

6^{2} = 36

= \frac{5}{36}

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