r/theydidthemath

Hello. I have come to you with a problem. I play tabletop games. In one of them, there is a mechanic where you roll 2d6, and take the highest result. Could someone draw a graph of the probability of attaigning at least each result. Then, the opposite. In the game, in some situation, you do the opposite, roll 2d6, and take the lowest. Could someone also draw a graph with the proba of atteigning at least each result (since, in the game, the bigger the number, the better) Finally, more complicated. In the game, you can sometimes, if you wish, reroll both dices. If you choose to reroll, you must reroll both, NOT one or the other. Could you draw a graph of the two précédent situations, accounting for the reroll (in this case, we reroll if we don't have the désired result, for example, for the 4+ colomn in the 2d6 take highest, every result that don't have at least one 4+ will be rerolled). Of course, there is only one singular reroll, you obviously cannot keep rerolling (I wished lol). Thanks

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