hich of the following values cannot be​ probabilities?
                                               0.06​, StartRoot 2 EndRoot​, 1​, 0​, 1.24​, 5 divided by 3​, 3 divided by 5​, negative 0.53
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Part 1
Select all the values that cannot be probabilities.
A.1
1
B.0
0
C.1.24
1.24
D.five thirds
five thirds
E.StartRoot 2 EndRoot
StartRoot 2 EndRoot
F.negative 0.53
negative 0.53
G.three fifths
three fifths
H.0.06


Probabilities must satisfy two conditions:
1. They must be between 0 and 1, inclusive.
2. Negative values and values greater than 1 cannot be probabilities.

Now, let's analyze each of the given values:

1. \(0.06\) – This is between 0 and 1, so it **can** be a probability.
2. \(\sqrt{2} \approx 1.414\) – This is greater than 1, so it **cannot** be a probability.
3. \(1\) – This is a valid probability, as it's equal to 1.
4. \(0\) – This is a valid probability, as it's equal to 0.
5. \(1.24\) – This is greater than 1, so it **cannot** be a probability.
6. \(\frac{5}{3} \approx 1.67\) – This is greater than 1, so it **cannot** be a probability.
7. \(\frac{3}{5} = 0.6\) – This is between 0 and 1, so it **can** be a probability.
8. \(-0.53\) – This is negative, so it **cannot** be a probability.

### The values that **cannot** be probabilities are:
- \(\sqrt{2}\)
- \(1.24\)
- \(\frac{5}{3}\)
- \(-0.53\)

### Select the following:
- **C**. \(1.24\)
- **D**. \(\frac{5}{3}\)
- **E**. \(\sqrt{2}\)
- **F**. \(-0.53\)

Would you like more details on probability rules or any specific clarifications?

Here are 5 related questions for deeper understanding:
1. What are the conditions for a value to be a valid probability?
2. How can irrational numbers affect probability calculations?
3. Why is a probability of 0 meaningful in real-world situations?
4. Can a probability ever exceed 1? Why or why not?
5. How do fractions simplify probability problems?

**Tip:** Always check if a value lies between 0 and 1 when determining if it can be a probability.

Which of the following values cannot be probabilities? 0.06, √2, 1, 0, 1.24, 5/3, 3/5, -0.53

Discover which values cannot be probabilities from the set {0.06, √2, 1, 0, 1.24, 5/3, 3/5, -0.53}. Learn about the rules of probability, and why values outside the range [0, 1] or negative numbers cannot represent probabilities. Suitable for students in Grades 6-8.

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