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A pair of standard dice are rolled. Find probability of rolling a sum of 7 with these dice.

Solution

A pair of standard dice are rolled. Find probability of rolling a sum of 7 with these dice.

Solution

\frac{1}{6}

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 rolling a sum of 7 with these dice:

6

Probability

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

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

Cancel the common factor:

6

= \frac{1}{6}

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