Understanding Probability in Algebra
Probability measures the likelihood of an event occurring. It is a key concept in statistics and algebra.
Basic Probability
Probability of an event \( A \): \( P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \)
Types of Events
- Independent events
- Dependent events
- Mutually exclusive events
Addition and Multiplication Rules
- Addition: \( P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B) \)
- Multiplication: \( P(A \text{ and } B) = P(A) \times P(B) \) for independent events
Practice Problems
- A die is rolled. What is the probability of getting a 4?
- What is the probability of drawing an ace from a standard deck of cards?
- If two coins are tossed, what is the probability both are heads?
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