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Unformatted text preview: 3.5 Venn Diagram Illustration of Conditional Probability Conditional
Probability Notes Conditional
Multiplication Rule 3.6 General Multiplication Rule Conditional
Probability Notes Suppose we know the conditional probability P(A|B ) and
the marginal probability i.e. the probability of the given
event P(B ). Then the formula of conditional probability
provides a way to compute the joint probability P(A ∩ B )
Probability 2 events:
P(A ∩ B ) = P(B ) × P(A|B ) General
Multiplication Rule More than 2 events:
P(∩n=1 Ai ) = P(A1 ) × P(A2 |A1 ) × P(A3 |A1 ∩ A2 )
× · · · × P(An |An−1 ∩ · · · ∩ A...
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