Multiple choice

One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting neither a club nor a black queen.

  1. $\dfrac{11}{26}$
  2. $\dfrac{19}{26}$
  3. $\dfrac{6}{26}$
  4. $\dfrac{1}{26}$
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B Correct answer
AI explanation

Using the classical definition of probability, first find the number of unfavorable outcomes by adding the 13 clubs to the 1 black queen of spades, giving 14 cards. The number of favorable outcomes is 52 minus 14, which is 38 cards that are neither a club nor a black queen. The probability is 38 divided by 52, which simplifies to 19/26.

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