This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
The question asks for the range within which the probability of an event always lies. Step 1: 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. Step 2: 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. Step 3: 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 P(E) 1 The correct option is 0 and 1. 3 done, 2 left today. You're making progress.