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I am puzzled as to how you are so certain of your attributions onto me when you write: "you [meaning I] assumed that the third roll is Roll1 and the fourth one is Roll2". I've done no such thing. Let's be concrete about this. Suppose the first roll of the entire game is 5 and the second roll is 3. From this point on, in order that we get an even sum for the ENTIRE game, we need to look to probability of getting an even sum, not an odd sum, for the remainder of the game. So writing (1-q), which is the probability of getting an odd sum (with a certain initial condition) for the remainder of the game is wrong. Period.You guys are remarkable! You have a monumental inertia in not being able to see the obvious.
I am puzzled as to how you are so certain of your attributions onto me when you write: "you [meaning I] assumed that the third roll is Roll1 and the fourth one is Roll2". I've done no such thing.
Let's be concrete about this. Suppose the first roll of the entire game is 5 and the second roll is 3. From this point on, in order that we get an even sum for the ENTIRE game, we need to look to probability of getting an even sum, not an odd sum, for the remainder of the game. So writing (1-q), which is the probability of getting an odd sum (with a certain initial condition) for the remainder of the game is wrong. Period.
You guys are remarkable! You have a monumental inertia in not being able to see the obvious.
