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Popular Word Problems >

you have two regular six sides dice you roll both dice at the same time what is the probability that the sum of the two dice rolls is greater than 7?

Solution

yo u ha v e tw o re gu l a r s i x s i d es d i ce yo u ro ll b o t h d i ce a t t h e s am e t im e w ha 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 tw o d i ce ro ll s i s g re a t er t han 7 ?

Solution

\frac{5}{12}

+1

Decimal

0.41666 \dots

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 the sum of the 2 dice rolls is 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}

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