Multiple choice

Four cards are drawn from a pack of 52 playing cards. What is the probability of getting all four as picture-cards?

  1. 99/54145

  2. 2197/20825

  3. 1/20825

  4. 3/54145
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A Correct answer
Explanation

There are 12 picture cards (J, Q, K of each suit) in a 52-card deck. The probability of drawing 4 picture cards is (12C4) / (52C4) = 495 / 270725. Simplifying this fraction by dividing by 5 gives 99 / 54145.

AI explanation

The total number of ways to draw 4 cards from a pack of 52 is found using the combination formula 52C4, which equals 270725. Since there are 12 picture-cards in a standard deck, the number of favorable ways to draw 4 picture-cards is 12C4, which equals 495. The probability is 495 divided by 270725, and simplifying this fraction by dividing both numbers by 5 gives 99/54145.

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