A Number Which is a Multiple of 3 or 4

Oct 13, 2025 by leolavanderia.com.br 99 views

Introduction

Probability is a fundamental concept in mathematics that deals with the likelihood of an event occurring. In this article, we will explore the probability of getting a number greater than 5, a number which is a multiple of 3 or 4, and an odd prime when a single die is thrown. We will delve into the world of probability theory and provide a comprehensive analysis of these events.

The Basics of Probability

Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes. In the case of a single die, there are 6 possible outcomes: 1, 2, 3, 4, 5, and 6.

A Number Greater Than 5

When a single die is thrown, the possible outcomes are 1, 2, 3, 4, 5, and 6. To find the probability of getting a number greater than 5, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes.

There are 2 favorable outcomes: 6. The total number of possible outcomes is 6.

Probability Formula

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 2/6 = 1/3

Conclusion

The probability of getting a number greater than 5 when a single die is thrown is 1/3 or approximately 0.33.

A Number Which is a Multiple of 3 or 4

When a single die is thrown, the possible outcomes are 1, 2, 3, 4, 5, and 6. To find the probability of getting a number which is a multiple of 3 or 4, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes.

There are 2 favorable outcomes: 3 and 6. The total number of possible outcomes is 6.

Probability Formula

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 2/6 = 1/3

Conclusion

The probability of getting a number which is a multiple of 3 or 4 when a single die is thrown is 1/3 or approximately 0.33.

An Odd Prime

When a single die is thrown, the possible outcomes are 1, 2, 3, 4, 5, and 6. To find the probability of getting an odd prime, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes.

There is 1 favorable outcome: 3. The total number of possible outcomes is 6.

Probability Formula

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1/6

Conclusion

The probability of getting an odd prime when a single die is thrown is 1/6 or approximately 0.17.

Comparison of Probabilities

Event	Probability
A number greater than 5	1/3
A number which is a multiple of 3 or 4	1/3
An odd prime	1/6

As we can see, the probability of getting a number greater than 5 and a number which is a multiple of 3 or 4 is the same, which is 1/3. However, the probability of getting an odd prime is lower, which is 1/6.

Conclusion

Introduction

In our previous article, we explored the probability of getting a number greater than 5, a number which is a multiple of 3 or 4, and an odd prime when a single die is thrown. In this article, we will answer some frequently asked questions related to probability and dice rolling.

Q&A

Q: What is the probability of getting a number less than 5?

A: To find the probability of getting a number less than 5, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 favorable outcomes: 1, 2, 3, and 4. The total number of possible outcomes is 6.

Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4/6 = 2/3

Q: What is the probability of getting a number which is a multiple of 2?

A: To find the probability of getting a number which is a multiple of 2, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes. There are 3 favorable outcomes: 2, 4, and 6. The total number of possible outcomes is 6.

Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 3/6 = 1/2

Q: What is the probability of getting an even number?

A: To find the probability of getting an even number, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes. There are 3 favorable outcomes: 2, 4, and 6. The total number of possible outcomes is 6.

Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 3/6 = 1/2

Q: What is the probability of getting a number which is a multiple of 5?

A: To find the probability of getting a number which is a multiple of 5, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes. There is 1 favorable outcome: 5. The total number of possible outcomes is 6.

Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 1/6

Q: What is the probability of getting a number which is a multiple of 6?

A: To find the probability of getting a number which is a multiple of 6, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes. There is 1 favorable outcome: 6. The total number of possible outcomes is 6.

Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 1/6

Q: What is the probability of getting a number which is a multiple of 3 and 4?

A: To find the probability of getting a number which is a multiple of 3 and 4, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes. There is 1 favorable outcome: 12 (which is not possible with a single die). However, we can find the probability of getting a number which is a multiple of 3 or 4, which is 1/3.

Q: What is the probability of getting a number which is a multiple of 3 and 5?

A: To find the probability of getting a number which is a multiple of 3 and 5, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes. There is 1 favorable outcome: 15 (which is not possible with a single die). However, we can find the probability of getting a number which is a multiple of 3 or 5, which is 1/3.

Q: What is the probability of getting a number which is a multiple of 4 and 5?

A: To find the probability of getting a number which is a multiple of 4 and 5, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes. There is 1 favorable outcome: 20 (which is not possible with a single die). However, we can find the probability of getting a number which is a multiple of 4 or 5, which is 1/3.

Conclusion

In conclusion, we have answered some frequently asked questions related to probability and dice rolling. We have used the probability formula to calculate the probability of each event and provided the answers to the questions. We hope that this article has been helpful in understanding probability concepts.