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AP EAMCET20228 Jul 2022Morning ShiftMathematicsProbabilityActual

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all four cards of the same suit is

Options

  1. A13 270725
  2. B91 190
  3. C178 20825
  4. D44 4165

Correct answer

D. 44 4165

Step-by-step solution

P [All your cands are of the same suit] aligned & = 13_ C ₄ +13_ C ₄ +13_ C ₄ +13_ C ₄ 52_ C ₄ & = 4.13_ C ₄ 52_ C ₄ = 4.13 .12 .11 .10 4.8 .2 .1 4.52 .51 .50 .49 4.3 .2 .1 & = 12 11 51 5 49 = 44 85 49 = 44 4165 aligned

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