Multiple choice

A card is drawn from an ordinary deck of 52 playing cards. What is the probability that it is neither a four nor a club?

  1. 1/52

  2. 1/13

  3. 4/13

  4. 9/13
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total cards = 52. Fours = 4. Clubs = 13. The four of clubs is counted in both, so there are 4 + 13 - 1 = 16 cards that are either a four or a club. Cards that are neither = 52 - 16 = 36. Probability = 36/52 = 9/13.

AI explanation

Using the principle of inclusion-exclusion for events, the number of cards that are either a four or a club is 4 plus 13 minus 1 (the four of clubs), giving 16 favorable cards. This leaves 52 minus 16, which is 36 cards that are neither a four nor a club. The probability is therefore 36 out of 52, which simplifies by dividing the numerator and denominator by 4 to reach 9/13.

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