SOLUTION: whats probability of picking an even numbered card if you pick a card 20 times? Is the answer 32/52 ^20 ? Is it safe to assume the card is put back each time? If its not put

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Question 859865: whats probability of picking an even numbered card if you pick a card 20 times?
Is the answer 32/52 ^20 ? Is it safe to assume the card is put back each time?
If its not put back, would it be 32/52 * 31/51 * 30/50 ....alll the way down to 22/52 ?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
whats probability of picking an even numbered card if you pick a card 20 times?
There are 4*5 = 20 even-numbered cards.
If you mean "picking at least one even-numbered card" the answer is::
P(at least one even) = 1 - P(no even in 20 draws) = 1-(32/52)^20 = 0.9999..
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If you mean "pick exactly one even card" the answer is::
P(x = 1) = 20C1(20/52)*(32/52)^19 = 0.000758
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If its not put back, would it be 32/52 * 31/51 * 30/50 ....all the way down to 22/52 ?
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Yes
Cheers,
Stan H.
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