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Popular Word Problems >

Two fair dice are thrown together. What is the probability of rolling a total of 7?

Solution

Tw o f ai r d i ce a re t h ro w n t o g e t h er . Wha t i s t h e p ro babi l i t y o f ro ll in g a t o t a l o f 7 ?

Solution

\frac{1}{6}

+1

Decimal

0.16666 \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 rolling a total of 7:

6

Probability

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

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

Cancel the common factor:

6

= \frac{1}{6}

Popular Examples

Fred is 4 years older than Barney. 5 years ago the sum of their age was 50. How old are they now Ben is 4 times older than Kevin and is also 6 years older as than Kevin Five subtracted from 3 times a number is 4 suppose the diameter of a circle is 6 units. what is its circumference he diameter of a circle is 18 in. Find its area