For two events A and B, a student calculates that P (A and B) = 0.46 and P (B|A) = 0.31. Explain how you can tell that the student made a mistake.

Question

Malcolm Walls

Mathematics

27 January, 06:31

For two events A and B, a student calculates that P (A and B) = 0.46 and P (B|A) = 0.31. Explain how you can tell that the student made a mistake.

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Sean Barrett · Answer 1

Conditional probability formula is:P (A and B) = P (A) · P (B / A) 0.46 = P (A) · 0.31P (A) = 0.46 : 0.31P (A) = 1.48And this is impossible because 0 ≤ P (A) ≤ 1The student obviously made a mistake.