Conditional Probability

• Probability of A given B. P(A|B).
• With 2 6 sided dice, what is the Probability I'll roll a 9 (A) if I roll a 4 (B) with the first dice?
• With 2 6 sided dice, what is the Probability I'll roll a 9 (A) if I roll a 2 (B) with the first dice?
• You can use these conditions and other operator to build complex probability graphs.
• This fits in closely with Bayesian Decision Trees.
• Note that in the dice and card cases you know the probability (assuming the dice are true).
• There's often a big problem in determining the actual probability of an event.
• Experiments can't actually determine the probability of events, just probabilities with variance.