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Popular Word Problems >

Two fair dice are rolled. What is the probability that both show up the same number of point?

Solution

Tw o f ai r d i ce a re ro ll e d . Wha t i s t h e p ro babi l i t y t ha t b o t h s h o w u p t h e s am e n u mb er o f p o in t ?

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 both show up the same number of point:

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 product of 2 numbers is 4.2. What are the 2 numbers if their sum is 4.4.6 times of a number and 1 is the quotient of 24 and 4 half a number Gabrielle's age is two times Mikhail's age. The sum of their ages is 72 . What is Mikhail's age?:years old Ryan placed 1,000 in a savings account which compounds interest annually at a rate of 2.5% . How much will he have in the account after 2 years?Round your answer to the nearest dollar.Do NOT round until you have calculated the final answer.