Multiple choice

A card is drawn at random from a well-shuffled pack of $52$ cards where a card is drawn is neither a hearts card nor a queen.

  1. $\dfrac6{15}$
  2. $\dfrac9{13}$
  3. $\dfrac7{13}$
  4. $\dfrac8{13}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total cards = 52. Hearts = 13. Queens = 4. One queen is a heart, so there are 13 + 3 = 16 cards that are either hearts or queens. Cards that are neither = 52 - 16 = 36. Probability = 36/52 = 9/13.

AI explanation

A standard deck contains 52 cards, and the number of unfavorable cards includes all 13 hearts plus the 3 queens from the other suits, totaling 16 cards. Subtracting these from the deck leaves 52 - 16 = 36 cards that are neither hearts nor queens. The probability of drawing one of these remaining cards is 36 / 52, which simplifies to 9 / 13.

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