Conditional probability
Master Conditional probability in Grade 10 math. Conditional probability is the probability of event given that event has occurred
Key Concepts
Conditional probability $P(B|A)$ is the probability of event $B$ given that event $A$ has occurred.
Example 1: From a bag with 2 red and 6 blue marbles, $P(\text{blue|red was picked first without replacement}) = \frac{6}{7}$. Example 2: From a standard 52 card deck, $P(\text{King | Face Card}) = \frac{4 \text{ Kings}}{12 \text{ Face Cards}} = \frac{1}{3}$. Example 3: When rolling a die, $P(\text{rolling a 2 | an even number was rolled}) = \frac{1}{3}$.
This is 'if then' probability! It answers the question: 'What are the chances of B happening, if I already know A happened?' This new information shrinks the sample space, changing the odds. It is like asking the probability of drawing a Queen, given you already know the card you drew is a face card. It is all about updating your predictions.
Common Questions
What is Conditional probability in Grade 10 math?
Conditional probability is the probability of event given that event has occurred.
How do you apply Conditional probability?
Example 1: From a bag with 2 red and 6 blue marbles, Example 2: From a standard 52-card deck,.
Why is Conditional probability important for students?
This is 'if-then' probability! It answers the question: 'What are the chances of B happening, *if* I already know A happened?' This new information shrinks the sample space, changing the odds.