How to find fractional percentages - PSAT Math

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Question

You have 2 fair dice that each have 6 faces. On one roll, what's the probability that both dice land on an even number?

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Answer

In order to find the probability of rolling two even numbers on 2 dice we need to find the probability of each dice having an even number on the roll and then multiply them together.

The probability of rolling an even number is

because 2, 4, and 6 are even numbers which goes in the numerator and there are 6 total numbers which goes in the denominator. After this we reduce the fraction and get one half. Then we need to muliply this by probability of the second dice having an even number.

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