Conditional probability is a concept in probability theory that describes the likelihood of an event occurring given that another event has already occurred. It's denoted as P(A|B), which reads as "the probability of A given B".
The formal definition of conditional probability is:
$P(A|B) = \frac{P(A \cap B)}{P(B)}$
Where:
Let's consider a deck of 52 cards. We want to find the probability of drawing a king given that we've drawn a face card.
P(King | Face card) = P(King and Face card) / P(Face card) = (1/13) / (3/13) = 1/3
So, the probability of drawing a king, given that we've drawn a face card, is 1/3.
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