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What is the probability of rolling a number greater than five on a fair die?
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First, let’s define probability.
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The probability of an event happening is equal to the number of ways that event can happen over the total number of outcomes.
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Our event is rolling a number greater than five.
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The numerator would be the numbers greater than five on a die and the denominator would be how many different numbers are on a die — what could you roll.
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Here, we have a fair-sided die.
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The die has six different faces: a one, a two, a three, a four, a five, and a six.
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We now need to see how many of these faces are greater than five.
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On a regular fair-sided die, only one of the faces is greater than five and that’s the six.
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For a probability that makes the numerator one, there’s only one way to roll a number greater than five on a fair die.
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And for the denominator, how many different numbers are there?
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What could we roll?
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Because a fair die has six different faces, there are six possible outcomes.
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And that means the probability of rolling a number greater than five on a fair die is one out of six.
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It’s only one of the options out of six total options.
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The probability of rolling a number greater than five on a fair die one-sixth.