The Probability Of Getting A Composite Number Greater Than 3 When Throwing A Die Is:A. 1 6 \frac{1}{6} 6 1 ​ B. 1 3 \frac{1}{3} 3 1 ​ C. 1 2 \frac{1}{2} 2 1 ​ D. 2 3 \frac{2}{3} 3 2 ​

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Introduction

When throwing a die, we are interested in finding the probability of getting a composite number greater than 3. A composite number is a positive integer that has at least one positive divisor other than one or itself. In this case, we are looking for numbers greater than 3, which means we are interested in the numbers 4, 5, 6, 7, 8, 9, and 10.

Understanding Composite Numbers

Before we dive into the probability, let's understand what composite numbers are. A composite number is a positive integer that can be expressed as the product of two smaller positive integers. For example, 4 is a composite number because it can be expressed as 2 x 2. Similarly, 6 is a composite number because it can be expressed as 2 x 3.

The Possible Outcomes When Throwing a Die

When throwing a die, there are six possible outcomes: 1, 2, 3, 4, 5, and 6. We are interested in finding the probability of getting a composite number greater than 3, which means we are interested in the numbers 4, 5, and 6.

Calculating the Probability

To calculate the probability of getting a composite number greater than 3, we need to count the number of favorable outcomes (i.e., the numbers 4, 5, and 6) and divide it by the total number of possible outcomes (i.e., 6).

There are 3 favorable outcomes (4, 5, and 6) and 6 possible outcomes. Therefore, the probability of getting a composite number greater than 3 is:

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

Probability = 3/6

Probability = 1/2

Therefore, the probability of getting a composite number greater than 3 when throwing a die is 1/2.

Conclusion

In this article, we discussed the probability of getting a composite number greater than 3 when throwing a die. We defined what composite numbers are and counted the number of favorable outcomes (i.e., the numbers 4, 5, and 6) and the total number of possible outcomes (i.e., 6). We then calculated the probability by dividing the number of favorable outcomes by the total number of possible outcomes. The result is that the probability of getting a composite number greater than 3 when throwing a die is 1/2.

Frequently Asked Questions

  • What is a composite number? A composite number is a positive integer that has at least one positive divisor other than one or itself.
  • What are the possible outcomes when throwing a die? The possible outcomes when throwing a die are 1, 2, 3, 4, 5, and 6.
  • How do we calculate the probability of getting a composite number greater than 3? We calculate the probability by counting the number of favorable outcomes (i.e., the numbers 4, 5, and 6) and dividing it by the total number of possible outcomes (i.e., 6).

References

Glossary

  • Composite number: A positive integer that has at least one positive divisor other than one or itself.
  • Favorable outcome: An outcome that meets the condition of interest (in this case, getting a composite number greater than 3).
  • Total number of possible outcomes: The total number of possible outcomes when throwing a die (in this case, 6).
    The Probability of Getting a Composite Number Greater Than 3 When Throwing a Die: Q&A ====================================================================================

Introduction

In our previous article, we discussed the probability of getting a composite number greater than 3 when throwing a die. We defined what composite numbers are, counted the number of favorable outcomes, and calculated the probability by dividing the number of favorable outcomes by the total number of possible outcomes. In this article, we will answer some frequently asked questions related to the topic.

Q&A

Q: What is a composite number?

A: A composite number is a positive integer that has at least one positive divisor other than one or itself.

Q: What are the possible outcomes when throwing a die?

A: The possible outcomes when throwing a die are 1, 2, 3, 4, 5, and 6.

Q: How do we calculate the probability of getting a composite number greater than 3?

A: We calculate the probability by counting the number of favorable outcomes (i.e., the numbers 4, 5, and 6) and dividing it by the total number of possible outcomes (i.e., 6).

Q: What is the probability of getting a composite number greater than 3 when throwing a die?

A: The probability of getting a composite number greater than 3 when throwing a die is 1/2.

Q: Can you give an example of a composite number?

A: Yes, an example of a composite number is 4. It can be expressed as 2 x 2.

Q: Can you give an example of a non-composite number?

A: Yes, an example of a non-composite number is 5. It cannot be expressed as the product of two smaller positive integers.

Q: What is the difference between a composite number and a prime number?

A: A composite number is a positive integer that has at least one positive divisor other than one or itself, while a prime number is a positive integer that has exactly two positive divisors: 1 and itself.

Q: Can you give an example of a prime number?

A: Yes, an example of a prime number is 5. It can only be expressed as 1 x 5 or 5 x 1.

Q: How do we determine if a number is composite or prime?

A: We can determine if a number is composite or prime by checking if it has any divisors other than 1 and itself. If it does, it is composite. If it does not, it is prime.

Q: Can you give an example of a composite number greater than 3?

A: Yes, an example of a composite number greater than 3 is 6. It can be expressed as 2 x 3.

Q: Can you give an example of a composite number less than 3?

A: No, there are no composite numbers less than 3.

Q: What is the probability of getting a composite number less than 3 when throwing a die?

A: Since there are no composite numbers less than 3, the probability is 0.

Conclusion

In this article, we answered some frequently asked questions related to the probability of getting a composite number greater than 3 when throwing a die. We defined what composite numbers are, counted the number of favorable outcomes, and calculated the probability by dividing the number of favorable outcomes by the total number of possible outcomes. We also provided examples of composite and non-composite numbers, and explained the difference between composite and prime numbers.

Frequently Asked Questions

  • What is a composite number?
  • What are the possible outcomes when throwing a die?
  • How do we calculate the probability of getting a composite number greater than 3?
  • What is the probability of getting a composite number greater than 3 when throwing a die?
  • Can you give an example of a composite number?
  • Can you give an example of a non-composite number?
  • What is the difference between a composite number and a prime number?
  • Can you give an example of a prime number?
  • How do we determine if a number is composite or prime?
  • Can you give an example of a composite number greater than 3?
  • Can you give an example of a composite number less than 3?
  • What is the probability of getting a composite number less than 3 when throwing a die?

References

Glossary

  • Composite number: A positive integer that has at least one positive divisor other than one or itself.
  • Favorable outcome: An outcome that meets the condition of interest (in this case, getting a composite number greater than 3).
  • Total number of possible outcomes: The total number of possible outcomes when throwing a die (in this case, 6).
  • Prime number: A positive integer that has exactly two positive divisors: 1 and itself.