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Assume we want to determine the probability of rolling a 2 or smaller of a fair die (If it isn't, then some probabilities of getting a certain number must be different from the usual).

List the possibilities for such event. We have:

P(2 or smaller) = P(2) + P(1)

The probability of obtain a number on a die is 1/6. Therefore, the probability of obtaining a 2 or smaller on a fair die is 1/6 + 1/6 = 2/6 = 1/3.

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Q: What is probability of rolling a 2 or smaller?
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