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?

## Answer This Question

## Related Questions

- Math - A number has three distinct digits. The sum of the digits equals the ...
- MATH - A number has three distinct digits. The sum of the digits equals the ...
- math - How many distinct 3 digit odd integers are there? Distinct meaning none ...
- math - How many distinct 3 digit odd integers are there? Distinct meaning none ...
- math - How many distinct 3 digit odd integers are there? Distinct meaning none ...
- College probability and statistics - The current license plates in New York ...
- Geometry - How many three digit numbers have three distinct digits?
- DISCRETE MATH - HOW MANY POSITIVE INTEGERS LESS THAN 1000 A.are divisible by ...
- Math - 120 Are the last two digits divisible by 4 Are the last three digits ...
- Math - 120 Are the last two digits divisible by 4 Are the last three digits ...

More Related Questions