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Manipal MET2014MathematicsProbability

Out of 50 tickets numbered 00,01,02, , 49 , one ticket is drawn randomly, the probability of the ticket having the product of its digits 7 , given that the sum of the digits is 8 , is

Options

  1. A1 14
  2. B3 14
  3. C1 5
  4. DNone of these

Correct answer

C. 1 5

Step-by-step solution

Total number of cases = ⁵⁰ C ₁=50 Let A be the event of selecting ticket with sum of digits ' 8 '. Favourable cases to A are 08,17,26,35,44 . Let B be the event of selecting ticket with product of its digits ' 7 ' Favourable cases to B is only 17 . Now, & aligned P(B / A) & = P(A B) P(A) & = 1 / 50 5 / 50 = 1 5 aligned

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