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What is the probability of rolling a fair die and not getting an outcome less than 5​?

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Final answer:

The probability of rolling a fair six-sided die and not getting an outcome less than 5 is 1/3, as the only favorable outcomes are 5 and 6.

Step-by-step explanation:

The probability of rolling a fair die and not getting an outcome less than 5 can be determined by considering the favorable outcomes to the event in question. In this case, the event E = rolling a number that is at least five, which includes the outcomes {5, 6}. Since there are two favorable outcomes and six possible outcomes in total when rolling a six-sided die, we calculate the probability as P(E) = 2 / 6 or 1 / 3.

Therefore, if a fair die is rolled, the probability of not getting an outcome less than 5 is 1 / 3. This means that in the long term, if you rolled the die a very large number of times, approximately one-third of the rolls would result in an outcome of at least five. It is also important to remember that in practice, if you were to roll the die only a few times, you might not see results that perfectly match this probability due to natural variability in random processes.

User Khartnett
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There are 6 possible outcomes. And there are 2 outcomes that are not less then 5 which is 6 & 5. So you would get 2/6 or about 33%.
User Sjlee
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