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If a six sided die is rolled three times, what is the

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If a six sided die is rolled three times, what is the [#permalink] New post 09 Jun 2007, 15:37
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If a six sided die is rolled three times, what is the probability of getting at least one even number and at least one odd number?

1/8
7/8
1/2
3/4
1/4
Director
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 [#permalink] New post 09 Jun 2007, 15:43
(D)

Atleast one even and one odd -

EOE - 3 ways (2 evens one odd)

OOE - 3 ways (2 odds one even)

3(1/8) + 3(1/8) = 6/8 = 3/4
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 [#permalink] New post 09 Jun 2007, 18:40
Simpler way to explain is this :

If you roll a die 3 times , and if u are only looking for even and odd (i.e. 2 outcomes) then the number of results is 2^3 = 8. Out of which the only times its NOT a valid result is 3 evens or 3 odds. So if u remove these two results the probability is 6/8 = 3/4.
  [#permalink] 09 Jun 2007, 18:40
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