Math Problem Statement

Which of the following numbers could be the probability of an event? 1, -0.48, 0.04, 1.56, 0.21, 0

Solution

To determine which of the given numbers could be the probability of an event, we need to understand the range of values that a probability can take. The probability of an event is always a number between 0 and 1, inclusive. This means that the possible values for a probability PP are 0P10 \leq P \leq 1.

Let's evaluate each number:

  1. 11 - This is within the range [0, 1].
  2. 0.48-0.48 - This is less than 0, so it cannot be a probability.
  3. 0.040.04 - This is within the range [0, 1].
  4. 1.561.56 - This is greater than 1, so it cannot be a probability.
  5. 0.210.21 - This is within the range [0, 1].
  6. 00 - This is within the range [0, 1].

So, the numbers that could be a probability of an event are: 1,0.04,0.21,01, 0.04, 0.21, 0.

Would you like more details or have any questions?

Here are five related questions to expand your understanding:

  1. What is the definition of probability?
  2. How do you calculate the probability of a single event?
  3. What is the probability of an impossible event?
  4. What is the probability of a certain event?
  5. Can the sum of the probabilities of all possible outcomes of an experiment exceed 1?

Tip: Remember that probabilities are always between 0 and 1, inclusive. This range represents impossibility (0) to certainty (1).

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Math Problem Analysis

Mathematical Concepts

Probability
Number Properties

Formulas

Probability Range Formula: 0 <= P <= 1

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 6-8