# A single die is rolled one time. What is the probability of rolling a number greater than 5 or less than 3?

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7
Apr 18, 2017

The die is assumed to have six sides labeled $1 , 2 , 3 , 4 , 5 , 6$
The numbers greater than 5 are $6$.
The numbers less than 3 are $2 , 1$.

So the numbers greater than 5 OR less than 3 are the union of the two sets or 6, and 2,1. The probability of rolling one of these numbers is $\frac{3}{6} = \frac{1}{2}$ or 50%.

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