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What is the probability of not picking a face card when you draw a card at random from a pack of 52 cards?

  • A.1/13
  • B.4/13
  • C.10/13
  • D.12/13

Answer: C

There are 12 face cards - jack, queen and king in each of the four suits - so 40 cards are not face cards.

\[ P = \frac{40}{52} = \frac{10}{13} \]

Equivalently \( 1 - \tfrac{12}{52} = 1 - \tfrac{3}{13} = \tfrac{10}{13} \).

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