# Proportional Probability Dice

**Discrete Mathematics**Level 1

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?

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**Clarification**: Each face of the dice is labelled with a distinct integer in the interval 1 to 6 (inclusive).

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