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Shubham has 75 % chance of attending the annual meet. Shikha has a 90 % chance if Shubham also attends otherwise she has a 40 % chance of attending the meet. If I go to the annual meet and see Shikha there, then the probability that Shubham is also there, is

Options

  1. A27 31
  2. B19 30
  3. C1 5
  4. D9 10

Correct answer

A. 27 31

Step-by-step solution

A = Shubham attends annual meet, P A = 3 4 B = Shikha attends annual meet P B A = 9 10 , P B A - = 4 10 = 2 5 P A B = P A ⋅ P B A P A ⋅ P B A + P A ¯ P B A - = 3 4 × 9 10 3 4 × 9 10 + 1 4 × 4 10 = 27 31

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