Multiple choice

A card is thrown random from a pack $52$ cards. Find the probability that the card drawn is: Black and a king

  1. $\dfrac {1}{26}$
  2. $\dfrac {1}{52}$
  3. $\dfrac {1}{28}$

  4. None Of these
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A Correct answer
Explanation

There are 2 black kings in a deck of 52 cards (King of Spades and King of Clubs). The probability is 2/52, which simplifies to 1/26.

AI explanation

A standard deck has 52 cards, and the favorable outcomes are cards that are both black and a king. Since there is one king of spades and one king of clubs, there are exactly 2 favorable cards. Using the classical definition of probability, the probability is the number of favorable outcomes divided by the total number of outcomes. This gives 2 over 52, which simplifies to 1 over 26.

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