Multiple choice

A card is drawn from a pack of $52$ cards. The probability of getting a queen of spade or a king of diamond is

  1. $\dfrac{1}{56}$
  2. $\dfrac{1}{26}$
  3. $\dfrac{1}{52}$
  4. $\dfrac{3}{56}$
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B Correct answer
Explanation

There is 1 queen of spades and 1 king of diamonds in a deck of 52 cards. The probability of drawing either is (1 + 1) / 52 = 2 / 52 = 1 / 26.

AI explanation

According to the classical definition of probability, we divide the number of favorable outcomes by the total number of outcomes. A 52-card deck contains exactly 1 queen of spades and 1 king of diamonds, giving 2 favorable outcomes. The probability is therefore 2 divided by 52, which simplifies to 1/26.

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