Multiple choice

From a pack of $52$ playing cards, face club are removed. The remaining cards are well shuffled and a card is drawn at random. Find the probability that the card drawn is a Heart card.

  1. $\cfrac { 1 }{ 4 } $
  2. $\cfrac { 13 }{ 49 } $
  3. $\cfrac { 3 }{ 52 } $
  4. $\cfrac { 49 }{ 52 } $
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B Correct answer
AI explanation

Using the classical definition of probability, the required probability equals the number of favorable outcomes divided by the total remaining outcomes. Since the face club cards are removed, the pack has 49 cards remaining (52 minus 3 face club cards). The 13 Heart cards remain untouched, so the probability of drawing a Heart is 13 divided by 49.

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