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In a game, two dice are thrown simultaneously by a person A and two cards are drawn at random simultaneously from a pack of 52 playing cards by a person B. They win the game if A gets a prime score as the sum of the numbers appear on both the dice and B gets a face card and a card having a prime number. Then the probability. that both A and B win is

Options

  1. A8 663
  2. B40 663
  3. C16 117
  4. D40 221

Correct answer

B. 40 663

Step-by-step solution

aligned & P(A and B win )=P(A win ) P(B win ) & = 15 36 ¹² C₁ ¹⁶ C₁ ⁵² C₂ = 5 12 12 16 26 51 = 40 663 . aligned

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