a pair of dice is rolled. what is the probability of getting a sum greater than 7

解

a p ai r o f d i ce i s ro ll e d . w ha t i s t h e p ro babi l i t y o f g e tt in g a s u m g re a t er t han 7

\frac{5}{12}

十進法表記

0.41666 \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 getting a sum greater than 7:

15

Probability

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

= \frac{15}{6 ^{2}}

\frac{15}{6 ^{2}} = \frac{5}{12}

= \frac{5}{12}