SOLUTION: From a pack of 52 cards, seven are taken at random, examined and replaced. The cards are shuffled and another seven are drawn at random. Find the probability that at least one

Algebra ->  Probability-and-statistics -> SOLUTION: From a pack of 52 cards, seven are taken at random, examined and replaced. The cards are shuffled and another seven are drawn at random. Find the probability that at least one       Log On


   



Question 659076: From a pack of 52 cards, seven are taken at random, examined and replaced. The
cards are shuffled and another seven are drawn at random. Find the probability that at
least one card will be drawn twice.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
From a pack of 52 cards, seven are taken at random, examined and replaced. The
cards are shuffled and another seven are drawn at random. Find the probability that at
P(least one card will be drawn twice) = 1 - (no card is picked twice)
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= 1 - (1/52)^2
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= 1 - (1/52)(51/52)
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= 1 - 51/52^2
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= 1 - 0.019
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= 0.981
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Cheers,
Stan H.