for the range within which the probability of an event always lies.

Question

ScanSolve AI Tutor · Accepted Answer

The question asks for the range within which the probability of an event always lies.

Understand the definition of probability.
The probability of an event is a numerical measure of the likelihood of that event occurring. It is always a value between 0 and 1, inclusive.
Interpret the bounds.
- A probability of 0 means the event is impossible.
- A probability of 1 means the event is certain to happen.
- Any probability between 0 and 1 indicates that the event may or may not happen, with values closer to 1 being more likely and values closer to 0 being less likely.
Evaluate the given options.
- "-1 and 1": Probabilities cannot be negative.
- "0 and 100": This range is used when expressing probability as a percentage (0% to 100%), but the standard numerical range for probability is 0 to 1.
- "0 and 1": This is the correct range for the probability of any event.
- "1 and 10": Probabilities cannot be greater than 1.
The probability of an event $P(E)$ always satisfies the condition:
$0 \le P(E) \le 1$
The correct option is 0 and 1.

For the range within which the probability of an event always lies.