SOLUTION: You perform the following experiement: You shuffle a deck of 52 cards and randomly select one card. THe successful event is you draw a king. You replace the card and repeat this ex

Question 1032165: You perform the following experiement: You shuffle a deck of 52 cards and randomly select one card. THe successful event is you draw a king. You replace the card and repeat this experiment 5 times. What is the probability you will get exactly two successes?
4 kings out of 52 cards.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!

You perform the following experiment: You shuffle a deck of 52 cards and randomly select one card. THe successful event is you draw a king. You replace the card and repeat this experiment 5 times.
What is the probability you will get exactly two successes?
Binomial Problem with n = 5 and p(king) = 1/13
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P(x = 2) = 5C2*(1/13)^2*(12/13)^3 = binompdf(5,1/13,2) = 0.0465
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Cheers,
Stan H.

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