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Popular Word Problems >

If two dice are rolled together, what is the probability that the values shown will add up to a total of 6

Solution

I f tw o d i ce a re ro ll e d t o g e t h er, w ha t i s t h e p ro babi l i t y t ha t t h e v a l u es s h o w n w i ll a dd u p t o a t o t a l o f 6

Solution

\frac{5}{36}

+1

Decimal

0.13888 \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 values shown will add up to a total of 6:

5

Probability

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

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

6^{2} = 36

= \frac{5}{36}

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