A biased coin, twice as likely to come up heads as tails, is tossed once. If it shows heads, a chip is drawn from urn I which contains three white chips and four red chips; if it shows tails, a chip is drawn from urn II which contains six white chips and three red chips. Given that a white chip was drawn, what is the probability that the coin came up tails?
A biased coin, twice as likely to come up heads as tails, is tossed once. If it shows heads, a chip is drawn from urn I which contains three white chips and four red chips; if it shows tails, a chip is drawn from urn II which contains six white chips and three red chips. Given that a white chip was drawn, what is the
A and B are two events such that P(A),P(B)>0. The conditional probability of A given that B has already occurred is given by the formula P(A|B)=P(AB)/P(B) where P(AB) is the probability of occurring both A and B at same time. P(A|B) is called prior probability. The posterior probability of A is P(B|A) is computed by the formula
P(B|A)=((P(B)(P(A|B))/P(A) . The formula is called Bayes’ theorem.
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