Unlock the Power of Conditional Probability
Explore how the chance of an event changes based on prior knowledge with our interactive Conditional Probability Calculator.
Conditional Probability Calculator
Enter the probabilities to calculate the conditional probability P(A|B).
Probability of event A occurring.
Probability of event B occurring.
Probability of both events A and B occurring.
Conditional Probability $$P(A|B) = \frac{P(A \cap B)}{P(B)}$$
Probability Distribution Visualization
Understanding Conditional Probability
Conditional probability is the probability of an event occurring given that another event has already occurred. It's a fundamental concept in probability theory and statistics.
The formula for conditional probability is: $$P(A|B) = \frac{P(A \cap B)}{P(B)}$$ Where:
- P(A|B) is the conditional probability of event A given event B.
- P(A ∩ B) is the probability of both events A and B occurring.
- P(B) is the probability of event B occurring.
Example: Suppose you want to find the probability that it will rain (Event A) given that it is cloudy (Event B). You would need to know the probability of rain and clouds occurring together, and the probability of it being cloudy.
Learn more about conditional probability on resources like Wikipedia.