Multiple choice

What is the probability when a card is drawn at random from a deck of 52 cards is either an ace or a club?

  1. 2 / 13

  2. 3 / 13

  3. 4 / 13

  4. 5 / 23
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C Correct answer
Explanation

P(Ace or Club) = P(Ace) + P(Club) - P(Ace of Clubs) = 4/52 + 13/52 - 1/52 = 16/52 = 4/13.

AI explanation

Using the addition theorem of probability for two non-mutually exclusive events, the probability equals the probability of an ace plus the probability of a club minus the probability of the ace of clubs. There are 4 aces and 13 clubs in a standard 52-card deck, so the calculation is (4/52) + (13/52) - (1/52). This gives 16/52, which simplifies to 4/13.

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