The probability of an event is always represented by a number between 0 and 1, inclusive. The possible numbers that can represent the probability of an event follow these rules:

1. 0: Represents an impossible event (the event will never happen).
2. 1: Represents a certain event (the event will always happen).
3. Any number between 0 and 1 (including fractions or decimals): Represents an event that has some chance of occurring, but is not certain. For example, 0.5 (or 50%) means the event is equally likely to happen or not happen.

Thus, the numbers that could represent probabilities are:

• 0 ≤ probability ≤ 1

Examples:

• 0: Impossible event
• 0.25: 25% chance of occurring
• 0.5: 50% chance of occurring
• 1: Certain event

Invalid numbers for probabilities:

• Negative numbers (e.g., -0.2)
• Numbers greater than 1 (e.g., 1.5)

Would you like more detailed explanations or have further questions on this?

Here are 5 relative questions that expand on this concept:

1. What does it mean if the probability of an event is 0.75?
2. How do you calculate the probability of an event?
3. Can probability ever be a negative number? Why or why not?
4. How is probability related to percentages?
5. What is the probability of mutually exclusive events?

Tip: Always check if your probability value lies between 0 and 1 when solving real-world problems.