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In a deck of 52 playing cards,what is the probability of drawing a club card and than a second club card without replacement?

User Terik
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1 Answer

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Answer: 1/17

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Work Shown:

13/52 represents the probability of drawing a club card because there are 13 clubs out of 52 total.

After we've selected that card, and we don't replace it, we have 13-1 = 12 clubs left out of 52-1 = 51 total left. The probability of selecting another club is 12/51

Multiplying the fractions formed gets us

(13/52)*(12/51)

(13*12)/(52*51)

(13*4*3)/(4*13*3*17)

1/17

User WYS
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