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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?

 Jan 26, 2021
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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

 Jan 26, 2021

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