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AP EAMCET202125 Aug 2021Morning ShiftMathematicsProbabilityActual

Three numbers are chosen at random without replacement from the set A= x Z 2 x 11 . The probability that the minimum of chosen numbers is 3 and maximum is 7 is

Options

  1. A1 30
  2. B1 40
  3. C1 50
  4. D1 60

Correct answer

B. 1 40

Step-by-step solution

Here, A= 2,3,4,5,6,7,8,9,10,11 Let E be the event of choosing 3 numbers and let F be the event of choosing 3 numbers in which 3 is and 7 is array lrl & F & = (3,4,7),(3,5,7),(3,6,7) & n(F) & =3 & n(E) & = ¹⁰ C₃=120 Required probability = n(F) n(E) = 3 120 = 1 40 array

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