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  • 10-11-2020
  • Mathematics
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Suppose that E and F are two events and that P(E)=0.2 and P(F|E)=0.5 What is P(E and F)​?

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LammettHash
LammettHash LammettHash
  • 10-11-2020

By definition of conditional probability,

P(F | E ) = P(F and E ) / P(E )

Then

P(F and E ) = P(F | E ) P(E ) = 0.5 • 0.2 = 0.1

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