Explain why, if “A†stands for “There is thunder†and “Bâ€
stands for “It is raining,â€...
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Explain why, if “A†stands for “There is thunder†and “Bâ€stands for “It is raining,†you would expect p(A|B) to be greaterthan P(A).
Suppose you have a fair coin which is equally likely to come upheads or tails. Let “A†stand for “the first toss comes up headsâ€and “B†stands for the 2nd toss comes up heads.â€Calculate the following:
P(A)=
P(B)=
P(A&B)=
P(B|A)=
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Thunder and rainFrom the definition of conditional probabilityFurther we haveThe event
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