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Let A and B be events in a sample space S such that P(A) = 0.37, P(B) = 0.49 and P(A ∩ B) = 0.11. Find P(A | B).
a) 0.7551
b) 0.1279
c) 0.0204
d) 0.2973
e) 0.2245

Respuesta :

sqdancefan

Answer:

  e) 0.2245

Step-by-step explanation:

You have P(A) = 0.37, P(B) = 0.49, and P(A∩B) = 0.11, and you want P(A|B).

Conditional probability

The conditional probability formula tells you ...

  P(A|B) = P(A∩B)/P(B)

  P(A|B) = 0.11/0.49 . . . . . . substitute given values

  P(A|B) ≈ 0.2245

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