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Two cards are drawn randomly from a pack of 52 cards. What is the probability of getting one spade card and one diamond card?

  1. 13/51
  2. 1/2
  3. 1/4
  4. 13/102

Answer (Detailed Solution Below)

Option 4 : 13/102

Detailed Solution

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Concept used:

Total number of spade cards = 13

Total number of diamond cards = 13

Formula used:

P = Favorable outcomes/Total outcomes 

Calculation:

Total outcomes = 52C2 =  =  = 1326

Favourable outcomes = 13C1 × 13C1

= 13 × 13 = 169

∴ The Required Probability = 169/1326 = 13/102

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