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# The three fair dice are rolled together. What is the

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SVP
Joined: 03 Feb 2003
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The three fair dice are rolled together. What is the [#permalink]  19 Jun 2003, 00:24
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The three fair dice are rolled together. What is the probability of NOT having 1-2-2 in all the possible combinations?
Eternal Intern
Joined: 07 Jun 2003
Posts: 483
Location: Lone Star State
Followers: 1

Kudos [?]: 4 [0], given: 0

Eternal Intern
Joined: 07 Jun 2003
Posts: 483
Location: Lone Star State
Followers: 1

Kudos [?]: 4 [0], given: 0

SVP
Joined: 03 Feb 2003
Posts: 1619
Followers: 5

Kudos [?]: 28 [0], given: 0

P (1-2-2) =1/6*1/6*1/6 (for this unique combination)

2-1-2
1-2-2
2-2-1 three such combination, so P(to have 1-2-2)=3/216

P (NOT to have)=1-3/216

Correct?
Eternal Intern
Joined: 07 Jun 2003
Posts: 483
Location: Lone Star State
Followers: 1

Kudos [?]: 4 [0], given: 0

Is it 1-3, or just 13, don't write notation like that.
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