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# When 4 dice are thrown, what is the probability that the

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Joined: 25 Sep 2004
Posts: 23
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Kudos [?]: 28 [0], given: 0

When 4 dice are thrown, what is the probability that the [#permalink]  29 Sep 2004, 05:33
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When 4 dice are thrown, what is the probability that the same number appears on each of them?

(1) 1/36 (2) 1/18
(3) 1/216 (4) 1/5
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4309
Followers: 29

Kudos [?]: 235 [0], given: 0

prob of getting same number on 4 dices: 1/6^4
# of ways of getting 4 same numbers(ie 4*1 or 4*2 and so on): 6
prob. of getting 4 similar values: 1/6^4 * 6 = 1/6^3 = 1/216
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Paul

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Joined: 30 Oct 2003
Posts: 1794
Location: NewJersey USA
Followers: 5

Kudos [?]: 43 [0], given: 0

P of getting one particular number on 4 dices is 1/6^4
Since there are 6 numbers
P = 6/6^4 = 1/216
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
Followers: 23

Kudos [?]: 194 [0], given: 0

Total number of combinations = 6*6*6*6 = 1296
Number of combinations with same number = 6 (1111,2222,3333,4444,5555,6666)

So Probability = 6/1296 = 1/216
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