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Suppose that P(A) = 0.25 and P(B) = 0.40 . If P(A|B)=0.20 , what is P(B|A) ?

User Mrkiril
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1 Answer

5 votes

Answer:

  • 0.32

Explanation:

Use of formula:

  • P(A and B) = P(A)*P(B|A) and
  • P(A and B) = P(B)*P(A|B)

According to above and based on given:

  • P(A)P(B|A) = P(B)P(A|B)
  • P(B|A) = P(A|B)*P(B)/P(A)
  • P(B|A) = 0.20*0.40/0.25 = 0.32
User Internetzer
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