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Popular Word Problems >

A die is rolled twice. Find the probability of getting the same number on both rolls

Solution

A d i e i s ro ll e d tw i ce . F in d t h e p ro babi l i t y o f g e tt in g t h e s am e n u mb er o n b o t h ro ll s

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 getting the same number on both rolls:

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

The number is twice the number fifteen plus twice the number 12 Jared puts 3,000 into a bank account earning 3.4% interest. Years later, when he takes the money out of the account, he has 4,073.95. About how long did he leave the money in his bank account?Huilan's age is two times Thomas's age. The sum of their ages is 39 . What is Thomas's age?the difference of two and a number is at least negative one You deposit 24.00 in an account earning 6% interest compounded monthly. How much will you have in the account in 160 years?