Suppose you take the case of rolling two die and trying to calculate the probability of getting a total more than 10.
So out of 36 possible outcomes you get :-
The last one is what confuses me - most sources don't consider it but I feel the prob should be 4/36 rather than 3/36. If you ignore the possibility of the either of the dice turning up sixes as two separate events aren't you messing with the identity of the dice ?
I may be way off track and I don't mean to shake the very foundations of probability
what do you say ?
Are you trying to say that the probability of rolling 6-6 is 2/36??? The probability of the sum being >10 is the probability the sum is 11 + the probability the sum is 12. There are 2 ways the sum can be 11: die A = 6, die B = 5 OR die A = 5, die B = 6. There is only 1 way the sum can be 12: die A = 6, die B = 6. Since there are no differentiating characteristics between the 6s, this is the only way you can roll a 12.