Multiple choice

From a pack of well suffled pack two cards are drawn one after another without repacement. Find the probability that both card are honour card of same colour?

  1. 28/663

  2. 10/221

  3. 8/221

  4. 29/663

  5. None of these
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A Correct answer
Explanation

Honour cards are Ace, King, Queen, Jack of each suit - 16 total (8 red, 8 black). Probability both are red honours: 8/52 × 7/51 = 56/2652. Probability both are black honours: 8/52 × 7/51 = 56/2652. Total probability = 56/2652 + 56/2652 = 112/2652 = 28/663. Option B (10/221 = 30/663) and C (8/221 = 24/663) are close but incorrect.

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