Suppose you draw two cards from a standard deck of 52 playing cards. What is the probability that they are both sixes? Keep at least 3 significant digits in your answer. (For example, 0.00012345 could be entered as 0.000123.)

Question

Computers and Technology

Seth Francis

27 November, 20:55

Suppose you draw two cards from a standard deck of 52 playing cards. What is the probability that they are both sixes? Keep at least 3 significant digits in your answer. (For example, 0.00012345 could be entered as 0.000123.)

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Answers (1)

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Phoenix Hale · Answer 1

0.00452

Explanation:

There are 4 sixes in a deck. So the chance that the first card you draw is a six, is 4/52. Then there are only 3 sixes left and 51 cards. So the chance that the second one is also a six is 3/51.

The combined chance is the multiplication, i. e., 4/52 * 3/51 = 0.00452