In computing a conditional probability we assume that we know the outcome of the experiment is in event \(B\) and then, given that additional information, we calculate the probability that the outcome...In computing a conditional probability we assume that we know the outcome of the experiment is in event \(B\) and then, given that additional information, we calculate the probability that the outcome is also in event \(A\). If we let \(C\) denote the event that the card is a club and \(K\) the event that it is a King, then we are looking to compute $$P(C\ |\ K) = \frac{P(C\cap K)}{P(K)}.\label{condproba}$$ To compute these probabilities, we count the number of outcomes in the following events:
