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

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Intern
Joined: 03 Apr 2006
Posts: 44

Kudos [?]: 27 [0], given: 0

If a six sided die is rolled three times, what is the [#permalink]

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09 Jun 2007, 16:37
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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

Kudos [?]: 27 [0], given: 0

Director
Joined: 13 Mar 2007
Posts: 542

Kudos [?]: 89 [0], given: 0

Schools: MIT Sloan

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09 Jun 2007, 16:43
(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

Kudos [?]: 89 [0], given: 0

CEO
Joined: 17 May 2007
Posts: 2950

Kudos [?]: 654 [0], given: 210

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09 Jun 2007, 19:40
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.

Kudos [?]: 654 [0], given: 210

09 Jun 2007, 19:40
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