two fair dice are rolled. what is the probability of rolling a sum between 6 and 11 exclusive

Решение

tw o f ai r d i ce a re ro ll e d . w ha t i s t h e p ro babi l i t y o f ro ll in g a s u m b e tw ee n 6 an d 11 e x c l u s i v e

\frac{1}{2}

десятичными цифрами

0.5

Шаги решения

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 between 6 and 11 exclusive:

18

Probability

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

= \frac{18}{6 ^{2}}

\frac{18}{6 ^{2}} = \frac{1}{2}

= \frac{1}{2}