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KCET2025MathematicsProbability

Meera visits only one of the two temples A and B in her locality. Probability that she visits temple A is 2 5 . If she visits temple A, 1 3 is the probability that she meets her friend, whereas it is 2 7 if she visits temple B . Meera met her friend at one of the two temples. The probability that she met her at temple B is

Options

  1. A7 16
  2. B5 16
  3. C3 16
  4. D9 16

Correct answer

D. 9 16

Step-by-step solution

aligned & P ( A )= 2 5 ~F : The events of meera meets her friend. & P ( F / A )= 1 3 & P ( F / B )= 2 7 & P ( B )=1- P ( A ) & =1- 2 5 & = 3 5 aligned The probability she meet her at temple B aligned & P(B / F)= P(F B) P(F) & = P(B) P(B / F) P(A) P(F / A)+P(B) P(B / F) & = 3 / 5 2 / 7 (2 / 5 1 / 3)+(3 / 5 5 / 7) = 9 16 aligned

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