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

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When 4 dice are thrown, what is the probability that the [#permalink] New post 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
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 [#permalink] New post 29 Sep 2004, 05:49
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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 [#permalink] New post 29 Sep 2004, 06:30
P of getting one particular number on 4 dices is 1/6^4
Since there are 6 numbers
P = 6/6^4 = 1/216
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 [#permalink] New post 29 Sep 2004, 22:36
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
  [#permalink] 29 Sep 2004, 22:36
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