Multiple choice

The king, queen, and jack of hearts are removed from a deck of 52 playing cards and well shuffled One card is selected from the remaining cards The probability of drawing a 10 of hearts is

  1. $\displaystyle \frac{10}{49}$
  2. $\displaystyle \frac{13}{49}$
  3. $\displaystyle \frac{3}{49}$
  4. $\displaystyle \frac{1}{49}$
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D Correct answer
Explanation

Total cards = 52 - 3 = 49. The 10 of hearts is still in the deck. Probability = 1 / 49.

AI explanation

After removing three cards from the deck, the remaining number of cards is 52 - 3 = 49. Since the 10 of hearts is not one of the face cards removed, there is still exactly one 10 of hearts in the deck. The probability of selecting this card is the number of favorable outcomes divided by the total remaining cards, which is 1/49. The result is 1/49.

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