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AP EAMCET202316 May 2023Morning ShiftMathematicsProbabilityActual

From out of 100 enrolled students, two sections of strength 40 and 60 are formed. If you and your friend are among those 100 students, then the probability that both of you are placed in the same section is

Options

  1. A⁹⁸ C ₄₀+ ⁹⁸ C ₅₈ ¹⁰⁰ C ₄₀
  2. B⁴⁰ C ₂+ ⁶⁰ C ₂ ¹⁰⁰ C ₂
  3. C⁹⁸ C ₆₀+ ⁹⁸ C ₃₈ ¹⁰⁰ C ₆₀
  4. D⁹⁸ C ₅₈+ ⁹⁸ C ₀ ¹⁰⁰ C ₂

Correct answer

B. ⁴⁰ C ₂+ ⁶⁰ C ₂ ¹⁰⁰ C ₂

Step-by-step solution

Total no. of ways of selecting 2 students out of 100 = ¹⁰⁰ C₂ No. of ways in which both of us enter the same section = ⁴⁰ C₂+ ⁶⁰ C₂ Required probability = ⁴⁰ C₂+ ⁶⁰ C₂ ¹⁰⁰ C₂

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