Question Bank - Mathematics

Here's the question bank on all the mathematics topics.

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Given that P(A) = 1/5, P(B) = 1/4, P(A | B) = 1/4, the value of P (B | A) is:

A.
\(\dfrac{1}{16}\)
B.
\(\dfrac{11}{16}\)
C.
\(\dfrac{1}{5}\)
D.
\(\dfrac{5}{16}\)

Solution:

GivenP(A) = 1/5P(B) = 1/4P(A/B) = 1/4FormulaP(A/B) = P(A ? B)/P(B)P(B/A) = P(B ? A)/P(A)CalculationAccording to questions1/4 = P(A ? B)/1/4? P(A ? B) = 1/4 × 1/4? P(A ? B) = 1/16P(B/A) = P(B ? A)/1/5? P(B/A) = 1/16/1/5? P(B/A) = 5/16? The value ofP(B/A) is 5/16

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