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Two fair dice are rolled. What is the probability that both show up the same number of point?

Solution

Two fair dice are rolled. What is the probability that both show up the same number of point?

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 both show up the same number of point:

6

Probability

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

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

Cancel the common factor:

6

= \frac{1}{6}

Popular Examples

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