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a Four digit safe code does not contain the digits 1 and 4

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a Four digit safe code does not contain the digits 1 and 4 [#permalink] New post 10 Jul 2006, 17:05
24. a Four digit safe code does not contain the digits 1 and 4 at all. What is the probability that it has at least one even digit??

a) 1/4
b)1/2
c)3/4
d)15/16
e)1/16
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 [#permalink] New post 10 Jul 2006, 18:40
I get D = 15/16

Prob of atleast one even digit = 1 - Prob of NO even digit

We have following numbers (0,2,3,5,6,7,8,9) = 8 numbers

Total possibilities of all codes = 8*8*8*8

Total possibilities of NO even digit (3,5,7,9) = 4*4*4*4

Prob of NO even digit = 4*4*4*4/8*8*8*8 = 1/16

Prob of atleast one even digit = 1 - 1/16 = 15/16
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

  [#permalink] 10 Jul 2006, 18:40
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a Four digit safe code does not contain the digits 1 and 4

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