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NDA2019MathematicsProbabilityActual

Two cards are chosen at random from a deck of 52 playig cards. What is the probability that both of them have the same value?

Options

  1. A1 17
  2. B3 17
  3. C5 17
  4. D7 17

Correct answer

A. 1 17

Step-by-step solution

Number of ways of selecting 2 cards from deck of aligned & cards = ⁵² C ₂ & favourable cases = ¹³ C ₂ aligned Probability = ¹³ C₂ ⁵² C₂ = 13 12 2 52 51 2 = 13 12 52 51 = 1 17

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