Math Problem Statement
Solution
To determine which values could be a probability, we need to remember that probabilities are always between 0 and 1, inclusive. Any value outside this range is not a valid probability.
Now, let's evaluate each of the options in the image:
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: The square root of is approximately 0.707, which lies between 0 and 1, so this could be a probability.
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2: This is greater than 1, so it cannot be a probability.
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: The value of is approximately 3.67, which is greater than 1, so it cannot be a probability.
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0.2523: This value is between 0 and 1, so it could be a probability.
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: The square root of 5 is approximately 2.236, which is greater than 1, so it cannot be a probability.
Conclusion:
The values that could be a probability are:
- 0.2523
Would you like further details or explanations on any of these values?
Here are 5 related questions for further exploration:
- What is the definition of a valid probability distribution?
- Can probabilities ever be negative? Why or why not?
- What are some real-world examples of probabilities?
- How is probability used in statistics and data analysis?
- How do you calculate probabilities for independent events?
Tip: Always remember that probabilities are values between 0 and 1, inclusive. Anything outside this range is invalid in a probability context.
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Math Problem Analysis
Mathematical Concepts
Probability
Square Roots
Fractions
Decimals
Formulas
Probability Range: 0 ≤ P ≤ 1
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 7-9