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AP EAMCET202317 May 2023Morning ShiftMathematicsProbabilityActual

A pair of dice is thrown. Then the probability that either of the dice shows 2 when their sum is 6 is

Options

  1. A1 2
  2. B1 5
  3. C2 5
  4. D3 5

Correct answer

C. 2 5

Step-by-step solution

Let E₁= Either of dice shows 2 E₂= Sum of pair is 6 . Then, E₂= (1,5)(2,4),(4,2),(3,3)(5,1) and E₁= (2,4)(4,2) P ( E₁ E₂ )= P (E₁ E₂ ) P (E₂ ) = 2 / 36 5 / 36 = 2 5

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