A Spinner Is Divided Into Eight Equal-sized Sections, Numbered From 1 To 8, Inclusive. What Is True About Spinning The Spinner One Time? Select Three Options.1. If A A A Is A Subset Of S S S , A A A Could Be ${1, 2,
Introduction
A spinner is a popular tool used in mathematics to demonstrate probability concepts. In this article, we will explore the properties of a spinner divided into eight equal-sized sections, numbered from 1 to 8, inclusive. We will examine the possible outcomes of spinning the spinner one time and discuss the probability of each outcome.
The Spinner
The spinner is divided into eight equal-sized sections, each representing a possible outcome. The sections are numbered from 1 to 8, inclusive. This means that each section has an equal probability of being selected when the spinner is spun.
Possible Outcomes
When the spinner is spun one time, there are eight possible outcomes, each corresponding to a different section on the spinner. These outcomes are:
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
Probability of Each Outcome
Since the spinner is divided into eight equal-sized sections, each section has an equal probability of being selected. This means that the probability of each outcome is 1/8 or 0.125.
Subset of the Spinner
A subset of the spinner is a collection of one or more sections on the spinner. For example, the subset {1, 2} includes sections 1 and 2. The probability of a subset occurring is the sum of the probabilities of each section in the subset.
**Option 1: If is a subset of , could be
If is a subset of , could be . This means that the subset includes sections 1 and 2. The probability of this subset occurring is the sum of the probabilities of each section in the subset, which is 1/8 + 1/8 = 2/8 or 0.25.
**Option 2: If is a subset of , could be
If is a subset of , could be . This means that the subset includes sections 1, 2, and 3. The probability of this subset occurring is the sum of the probabilities of each section in the subset, which is 1/8 + 1/8 + 1/8 = 3/8 or 0.375.
**Option 3: If is a subset of , could be
If is a subset of , could be . This means that the subset includes all sections on the spinner. The probability of this subset occurring is the sum of the probabilities of each section in the subset, which is 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 8/8 or 1.
Conclusion
In conclusion, the spinner is a useful tool for demonstrating probability concepts. By understanding the possible outcomes and probabilities of each outcome, we can better comprehend the properties of a spinner. The subset of the spinner is a collection of one or more sections on the spinner, and the probability of a subset occurring is the sum of the probabilities of each section in the subset.
Key Takeaways
- The spinner is divided into eight equal-sized sections, each representing a possible outcome.
- The probability of each outcome is 1/8 or 0.125.
- A subset of the spinner is a collection of one or more sections on the spinner.
- The probability of a subset occurring is the sum of the probabilities of each section in the subset.
Frequently Asked Questions
- What is the probability of spinning a 1 on the spinner?
- The probability of spinning a 1 on the spinner is 1/8 or 0.125.
- What is the probability of spinning a 2 on the spinner?
- The probability of spinning a 2 on the spinner is 1/8 or 0.125.
- What is the probability of spinning a 3 on the spinner?
- The probability of spinning a 3 on the spinner is 1/8 or 0.125.
References
- [1] Probability with a Spinner. (n.d.). Retrieved from https://www.mathopenref.com/spinnerprobability.html
- [2] Spinner Probability. (n.d.). Retrieved from https://www.khanacademy.org/math/probability/spinner-probability/v/spinner-probability
Glossary
- Spinner: A tool used to demonstrate probability concepts.
- Subset: A collection of one or more sections on the spinner.
- Probability: The chance of an event occurring.
A Spinner is Divided into Eight Equal-Sized Sections, Numbered from 1 to 8, Inclusive. Q&A =====================================================================================
Introduction
A spinner is a popular tool used in mathematics to demonstrate probability concepts. In this article, we will explore the properties of a spinner divided into eight equal-sized sections, numbered from 1 to 8, inclusive. We will answer some frequently asked questions about spinning a spinner and provide additional information to help you better understand the concept.
Q&A
Q: What is the probability of spinning a 1 on the spinner?
A: The probability of spinning a 1 on the spinner is 1/8 or 0.125.
Q: What is the probability of spinning a 2 on the spinner?
A: The probability of spinning a 2 on the spinner is 1/8 or 0.125.
Q: What is the probability of spinning a 3 on the spinner?
A: The probability of spinning a 3 on the spinner is 1/8 or 0.125.
Q: What is the probability of spinning a 4 on the spinner?
A: The probability of spinning a 4 on the spinner is 1/8 or 0.125.
Q: What is the probability of spinning a 5 on the spinner?
A: The probability of spinning a 5 on the spinner is 1/8 or 0.125.
Q: What is the probability of spinning a 6 on the spinner?
A: The probability of spinning a 6 on the spinner is 1/8 or 0.125.
Q: What is the probability of spinning a 7 on the spinner?
A: The probability of spinning a 7 on the spinner is 1/8 or 0.125.
Q: What is the probability of spinning a 8 on the spinner?
A: The probability of spinning a 8 on the spinner is 1/8 or 0.125.
Q: What is the probability of spinning a number greater than 5 on the spinner?
A: The probability of spinning a number greater than 5 on the spinner is 3/8 or 0.375. This is because there are 3 numbers greater than 5 (6, 7, and 8) out of a total of 8 possible outcomes.
Q: What is the probability of spinning a number less than 5 on the spinner?
A: The probability of spinning a number less than 5 on the spinner is 5/8 or 0.625. This is because there are 5 numbers less than 5 (1, 2, 3, 4) out of a total of 8 possible outcomes.
Q: What is the probability of spinning an even number on the spinner?
A: The probability of spinning an even number on the spinner is 4/8 or 0.5. This is because there are 4 even numbers (2, 4, 6, 8) out of a total of 8 possible outcomes.
Q: What is the probability of spinning an odd number on the spinner?
A: The probability of spinning an odd number on the spinner is 4/8 or 0.5. This is because there are 4 odd numbers (1, 3, 5, 7) out of a total of 8 possible outcomes.
Q: What is the probability of spinning a number that is a multiple of 3 on the spinner?
A: The probability of spinning a number that is a multiple of 3 on the spinner is 2/8 or 0.25. This is because there are 2 numbers that are multiples of 3 (3 and 6) out of a total of 8 possible outcomes.
Q: What is the probability of spinning a number that is not a multiple of 3 on the spinner?
A: The probability of spinning a number that is not a multiple of 3 on the spinner is 6/8 or 0.75. This is because there are 6 numbers that are not multiples of 3 (1, 2, 4, 5, 7, 8) out of a total of 8 possible outcomes.
Conclusion
In conclusion, the spinner is a useful tool for demonstrating probability concepts. By understanding the possible outcomes and probabilities of each outcome, we can better comprehend the properties of a spinner. We hope that this Q&A article has provided you with a better understanding of the concept and has answered some of your frequently asked questions.
Key Takeaways
- The probability of spinning a 1 on the spinner is 1/8 or 0.125.
- The probability of spinning a 2 on the spinner is 1/8 or 0.125.
- The probability of spinning a 3 on the spinner is 1/8 or 0.125.
- The probability of spinning a number greater than 5 on the spinner is 3/8 or 0.375.
- The probability of spinning a number less than 5 on the spinner is 5/8 or 0.625.
- The probability of spinning an even number on the spinner is 4/8 or 0.5.
- The probability of spinning an odd number on the spinner is 4/8 or 0.5.
- The probability of spinning a number that is a multiple of 3 on the spinner is 2/8 or 0.25.
- The probability of spinning a number that is not a multiple of 3 on the spinner is 6/8 or 0.75.
Frequently Asked Questions
- What is the probability of spinning a 1 on the spinner?
- The probability of spinning a 1 on the spinner is 1/8 or 0.125.
- What is the probability of spinning a 2 on the spinner?
- The probability of spinning a 2 on the spinner is 1/8 or 0.125.
- What is the probability of spinning a 3 on the spinner?
- The probability of spinning a 3 on the spinner is 1/8 or 0.125.
References
- [1] Probability with a Spinner. (n.d.). Retrieved from https://www.mathopenref.com/spinnerprobability.html
- [2] Spinner Probability. (n.d.). Retrieved from https://www.khanacademy.org/math/probability/spinner-probability/v/spinner-probability
Glossary
- Spinner: A tool used to demonstrate probability concepts.
- Subset: A collection of one or more sections on the spinner.
- Probability: The chance of an event occurring.