Multiple choice

Find the probability of not selecting a queen from a standard pack of cards ?

  1. $\displaystyle \frac{12}{13}$
  2. $\dfrac1{13}$
  3. $\dfrac1{52}$
  4. $\dfrac{1}{26}$
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A Correct answer
Explanation

There are 4 queens in a deck of 52 cards. Probability of selecting a queen = 4/52 = 1/13. Probability of NOT selecting a queen = 1 - 1/13 = 12/13.

AI explanation

Using the complement rule, the probability of an event not occurring is 1 minus the probability of it occurring. A standard pack contains 4 queens, so the probability of selecting a queen is 4/52 or 1/13. Subtracting this from 1 gives 1 - 1/13, which equals 12/13.

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