The four aces and the four kings are taken out of a pack of 52 playing cards and kept aside. The rest are shuffled again and one of them is turned over. What is the probability that the card turned over is a face card, that is a jack, a queen or a king?

Question

Accepted Answer

2/11. 8 cards are removed, so 44 remain. A pack has 12 face cards, but the 4 kings have gone, leaving 8. P = 8/44 = 2/11. Choosing 3/13 keeps the old 52-card denominator; 3/11 forgets that the removed kings were themselves face cards; 2/13 divides the correct 8 by 52.

The four aces and the four kings are taken out of a pack of 52 playing cards and kept aside. The rest are shuffled again and one of them is turned over. What is the probability that the card turned over is a face card, that is a jack, a queen or a king?

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