which of the following cannot be a probability? 2/3, 3/5, 5/3, 1/2

A probability value must always lie between 0 and 1, inclusive. Therefore, any number greater than 1 or less than 0 cannot be a probability.

Let's evaluate each option:
- \( \frac{2}{3} = 0.6667 \) (can be a probability since it's between 0 and 1)
- \( \frac{3}{5} = 0.6 \) (can be a probability since it's between 0 and 1)
- \( \frac{5}{3} = 1.6667 \) (**cannot** be a probability since it's greater than 1)
- \( \frac{1}{2} = 0.5 \) (can be a probability since it's between 0 and 1)

Thus, **\( \frac{5}{3} \)** cannot be a probability.

Would you like more details or have any other questions?

Here are 5 related questions:
1. What is the probability of an impossible event?
2. Can a probability ever be negative?
3. What is the sum of probabilities of all possible outcomes in an experiment?
4. If an event is certain, what is its probability?
5. How would you calculate the probability of two independent events happening together?

**Tip:** The probability of any event is always a value between 0 (impossible) and 1 (certain).

Which of the following cannot be a probability? 2/3, 3/5, 5/3, 1/2

Understand how to determine whether a fraction can be a probability. This example problem compares fractions 2/3, 3/5, 5/3, and 1/2 to see which one falls outside the valid range for probability values. Learn key concepts of probability and fractions, suitable for students in Grades 6-8.

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