SOLUTION: In a deck of 52 card If you draw 3 cards and replace after each draw what is the probability of picking hearts one or more times? I think it might be 12/52.. there are 12 hearts

Question 227905: In a deck of 52 card If you draw 3 cards and replace after each draw what is the probability of picking hearts one or more times?
I think it might be 12/52.. there are 12 hearts 52 cards and since its being replaced the probabilty will stay the same? OR is it 12/52+12/52+12/52=36/52?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a deck of 52 card If you draw 3 cards and replace after each draw what is the probability of picking hearts one or more times?
I think it might be 12/52.. there are 12 hearts 52 cards and since its being replaced the probabilty will stay the same? OR is it 12/52+12/52+12/52=36/52?
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Since you are replacing the card after drawing, the events are independent.
This is a binomial problem with n=3, p=1/4, 1<=x<=3
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P(at least one heart) = 1 - P(no hearts)
= 1 - (3/4)^3 = 0.5781
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Cheers,
Stan H.
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