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Popular Word Problems >

What is the probability that the sum of the numbers coming up when rolling three dice is greater than 16?

Solution

Wha t i s t h e p ro babi l i t y t ha t t h e s u m o f t h e n u mb ers co min g u p w h e n ro ll in g t h ree d i ce i s g re a t er t han 16 ?

Solution

\frac{1}{54}

+1

Decimal

0.01851 \dots

Solution steps

The possible outcomes when three dice are rolled are

6 \cdot 6 \cdot 6

Therefore, the number of possible outcomes:

6^{3}

Find the number of favorable outcomes of the sum of the numbers coming up when rolling 3 dice is greater than 16:

4

Probability

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

= \frac{4}{6 ^{3}}

\frac{4}{6 ^{3}} = \frac{1}{54}

= \frac{1}{54}

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