Math problem

Definition of conditional probability is an event B in related to an event A is the probability that event B happens given that event A has already occurred. The notation for conditional probability is P(B|A), read as the probability of B given A. this formula comes from the multiplication principle and bit of algebra.

P (B | A) = P (A and B) / P (A)

The given event A has occurred; we should a reduced sample space. Instead of the entire sample space S, now we have a sample space of A since we know A has occurred. So it is about the number in the event divided by the number in the sample space still applies need home work help.

It is the number in A and B (should be in A since A has happened) divided by the number in A. By dividing on right hand side by the number which is present in the sample space S, and then we have the probability of A and B divided by the probability of A. Another important method of conditional probabilities is given by Bayes's formula.

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