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MHT CET202611 April 2026Morning ShiftMathematicsProbabilityActual

Two cards are drawn at random from a standard pack of 52 cards. Then the probability that the draw consists of exactly one face card and exactly one ace card is...

Options

  1. A7 221
  2. B5 221
  3. C8 221
  4. D9 221

Correct answer

C. 8 221

Step-by-step solution

Total number of cards in a standard pack = 52 Total number of ways to draw 2 cards = ⁵²C₂ = 52 51 2 = 1326 Number of face cards (Jack, Queen, King of each suit) = 4 3 = 12 Number of ace cards = 4 Number of ways to draw exactly one face card and exactly one ace card = ¹²C₁ ⁴C₁ = 12 4 = 48 Required probability = 48 1326 = 8 221 Answer: 8 221

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