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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 an even number?

Guest Jul 4, 2021

 Jan 30, 2022
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k = probability of rolling a 1

 

k + 2k + 3k + 4k + 5k + 6k = 1

21k = 1

k = 1/21

 

probability of rolling an even number = 2/21 + 4/21 + 6/21 = 12/21 = 4/7

 Jan 30, 2022

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