Hi /math/. I'm trying to design a scaling table for Dungeons and Dragons and my problem is thus:
"John designs a game. In it, people roll two dices, both of 20 faces. These two dices calculate the score.
When John rolls a result of 1 on the first dice and rolls a result of 1 on the second dice, he gets a score of 10.
When John rolls a result of 20 on the first dice and rolls a result of 1 on the second dice, he gets a score of 10.
When John rolls a result of 1 on the first dice and rolls a result of 20 on the second dice, he gets a score of 1.
When John rolls a result of 20 on the first dice and rolls a result of 20 on the second dice, he gets a score of 1.
In summary, a result of 1 on the second dice always scales the the first dice's result into a score of 10. A result of 20 on the second dice makes the the first dice's result become the score
Design a formula or two formulas, one for numbers under and one for numbers over 10, for this game.
"