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Popular Word Problems >

Two dice are tossed together. The sum of the outcomes is noted. What is the probability that the sum is less than 7

Solution

Tw o d i ce a re t osse d t o g e t h er . T h e s u m o f t h e o u t co m es i s n o t e d . Wha t i s t h e p ro babi l i t y t ha t t h e s u m i s l ess 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 is less 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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