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

解

Tw o f ai r d i ce a re ro ll e d . Wha t i s t h e p ro babi l i t y t ha t b o t h s h o w u p t h e s am e n u mb er o f p o in t ?

\frac{1}{6}

十進法表記

0.16666 \dots

解答ステップ

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}}

共通因数を約分する:

6

= \frac{1}{6}