SOLUTION: Suppose four digits are to be randomly selected with repetitions allowed. The set of digits is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. What is the probability that the four selected digit

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose four digits are to be randomly selected with repetitions allowed. The set of digits is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. What is the probability that the four selected digit      Log On


   



Question 321387: Suppose four digits are to be randomly selected with repetitions allowed. The set of digits is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. What is the probability that the four selected digits contain only even numbers?
Answer by stanbon(75887) About Me  (Show Source):
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Suppose four digits are to be randomly selected with repetitions allowed. The set of digits is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. What is the probability that the four selected digits contain only even numbers?
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# of even numbers: 5
# of selections with replacement: 4
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# of 4 digit sequences of even numbers: 5^4 = 625
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# of 4 digit sequences randomly selected: 10^4
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Probability(select 4 even digits) = 625/10^4 = 0.0625
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Cheers,
Stan H.
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