I have a special 6-sided dice such that
The probability of rolling a 2 is twice the probability of rolling a 1,
the probability of rolling a 3 is thrice the probability of rolling a 1,
the probability of rolling a 4 is quadruple the probability of rolling a 1,
the probability of rolling a 5 is quintuple the probability of rolling a 1, and
the probability of rolling a 6 is hextuple the probability of rolling a 1.
What is the probability of rolling a 1?
Say the probability of rolling one is x.
Then rolling 2 is 2x, 3 is 3x, and so on.
What we have is x+2x+3x+4x+5x+6x, or 21x.
x/21x is equal to 1/21