Posted by **M.A.** on Tuesday, June 29, 2010 at 9:40am.

After three tosses of a fair die, which is more likely to come up: three distinct digits (e.g. 1,2,3), or three digits with at least one repeat (e.g. 1,2,1)?

Distinct digits is more likely

At least one repeat is more likely

They are the same

Cannot determine

Explain

- math..probabilities -
**Reiny**, Tuesday, June 29, 2010 at 10:14am
the only combinations with 3 distinct digits is

1 2 3 , 2 3 4 , 3 4 5 , and 4 5 6

Each of those can be arranged in 6 ways, so there are only 24 cases with the numbers distinct

the 3 dice can fall in 6^3 or 216 different ways, so in 192 of those ways, one or more digits would repeat.

So what do you think?

- math..probabilities -
**watchworth**, Tuesday, June 29, 2010 at 9:31pm
what about the 3 distinct digits of 124, 125, 126, 134, 135, 136, 145, 146, 156, 235, 236, 245, 246, 256, 346 & 356?

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