# Conditional (Posterior) Probability

Conditional Probability is the probability of an event given that another event has already occurred. For instance, probability that the card is a queen, given it is a heart.

$$P(Q|H) = \text{probability that Q will occur, given H has occurred.}$$ $$P(Q│H)=(P(Q∩H))/(P(H))=(1/52)/(13/52)$$

This implies:

$$P(Q∩H)=P(Q│H)×P(H)=P(H│Q)×P(Q)$$

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