Each die has 6 faces, and the odds of a 6 or 1 showing up are 1 in 6.
So, there are several possible victory conditions:
1 of the 4 dice shows a 1, and none show 6.
2 of the dice show one and one or none show 6.
3 of the dice show one, and 2 or less show 6.
All 4 dice show 6.
There are 1296 possible combinations of dice that could be rolled.
So, the probabilities are as follows.
4 in 81 1 of the 4 dice shows a 1, and none show 6.
1 in 81 2 of the dice show one and one or none show 6.
5 in 1296 3 of the dice show one, and the 4 th die result doesn't matter, as long as it isn't 1.
1 in 1269 - All 4 dice show 6.
So,there is a 43 in 648 chance of this occurring.
