150k views
4 votes
What is the probability of rolling a fair die and not getting an outcome less than 5​?

2 Answers

4 votes

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
by
8.9k points
6 votes
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
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories