Hello, I'm about 7 years out of practice from using probability equations and I'm trying to design a game using dice so I need to know the likely hood of all possible outcomes. In my game you can roll 1-7 dice of various sizes (4, 6, 8, 10, 12) where any roll will only use 1 size of dice. I'm trying to find the likely hood of rolling a minimum of a certain number on one dice. I managed to get help to make an equation for finding the probability of a single dice within a group rolling the minimum in the form of Excel spreadsheet coding (which makes it harder to understand) but I don't know how to modify the equation to try and find the probability of 2 dice rolling the minimum, or 3 dice, ... or a max of 7 dice rolling the minimum. If anyone could teach me how to do this kind of equation again or point me in the right direction I would be very grateful because google isn't helping.

This may or may not help but this is the kind of graph I'm looking to make

DC = minimum roll, 1d4 = 1 4-sided die

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