Probability, using six sided dice

Question

I roll 4 white six sided dice and 1 black six sided dice

I pass if I roll any double on the white six sided dice

I ace if I roll a double on the white dice AND any dice is a 6

I also ace if I roll a triple (using any dice)

What is the chance I ace, pass and/or fail?

Is there a formula that could calculate the odds for any number of white and black dice?

Answer 1

the singular form of the word DICE is DIE.