Posted by **Anonymous** on Thursday, March 7, 2013 at 1:15pm.

A fair dice is rolled 4 times. What is the probability that at least 2 of the numbers are the same? Use the format a/b.

- probability -
**Count Iblis**, Thursday, March 7, 2013 at 1:37pm
This is one minus the probability that none of the numbers are the same. If you roll the dice 4 times and all the numbers must be different then for the first throw there are 6 possible numbers, for the next 5, then there are 4 left, and finally you have 3 possible numbers, so there are:

6*5*4*3 possible dice throws such that each of the four yields a different number. The probability of this happening is thus:

6*5*4*3/6^4 = 5*4*3/6^3 = 5/18

So, the probability that 2 or more are the same is 1-5/18 = 13/18

## Answer This Question

## Related Questions

- Math Probability - Find the (theoretical) probability of a given event, assuming...
- probability - Two six-sided dice each have the numbers 1 through 6 on their ...
- statistics - If a dice is rolled one time, classical probability would indicate ...
- Probability - When two fair six-sided dice are rolled, there are 36 possible ...
- probabbility - Find the (theoretical) probability of a given event, assuming ...
- Math 141 - A pair of fair 6-sided dice is rolled. What is the probability that a...
- Probability - Two fair dice are rolled together. The probability that the sum ...
- math - A pair of fair dice is rolled. What is the probability of each of the ...
- Math 141 - A pair of fair 6-sided dice is rolled. What is the probability that a...
- College Stat - A pair of fair dice is rolled. What is the probability of each of...

More Related Questions