Multiple choice

From a pack of 52 playing cards, five cards fall down - ten, jack, queen, king and ace of diamonds. After that, a card is drawn from the pack at random. What is the probability the card drawn is a face card?

  1. 5 47

  2. 9 47

  3. 3 47

  4. 7 47
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Five cards are removed, leaving 47 cards. The original deck had 12 face cards (J, Q, K of each suit). The removed cards were J, Q, K of diamonds (3 face cards). Remaining face cards = 12 - 3 = 9. The probability is 9/47.

AI explanation

After removing 5 cards from the original 52, the remaining pack contains 47 cards. Originally there are 12 face cards, but the lost cards include 3 face cards from the diamond suit, which are the jack, queen, and king. This leaves exactly 9 face cards remaining in the deck. Using the classical probability formula of favorable outcomes divided by total outcomes, we calculate 9 divided by 47, making the probability 9/47.

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