00:01
So we want to know the probability that we get a sum of seven when we roll a pair of dice that is loaded.
00:07
The probability that we get a four on the first dice is two out of seven.
00:11
The probability that we get three on the second dice is two out of seven, and the probability for the rest of the rolls is one out of seven per roll.
00:22
We can get a sum of seven if we roll, if we roll one -sixth, if we roll six, if we roll six, if we roll 6 -1, if we roll 2 -5, if we roll 5 -2, and if we roll 3 -4, and if we roll 4 -3, we can get a sum of 7.
00:45
And this is the order.
00:46
First 1, then 6, first 1, then 1.
00:50
And we want to get the probability of each of these double roles.
00:55
Well, we know that the probability of 1 -6 is equal to the probability of 6 -1, and it's equal to the probability of 2 -5, which is equal to the probability of 5 -2, which is equal to the probability of 3 -4th, as stated in the problem...