If you draw three cards from a regular deck of 52 cards, keeping each card out of the deck after you draw it, what are the chances you draw a seven and two queens?

Question

Mathematics

Crane

11 July, 08:01

If you draw three cards from a regular deck of 52 cards, keeping each card out of the deck after you draw it, what are the chances you draw a seven and two queens?

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Answers (1)

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Cooper Gonzalez · Answer 1

There are four 7's in a standard card. Chance of getting a 7 first is 4/52 = 1/13

There are four queens in a standard card. Chance of getting a queen in the second drawing is 4/51 and chance of getting a queen in the third drawing is 3/50.

Therefore, chance of drawing a seven and two queens is 1/13 x 4/51 x 3/50 = 2/5525