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

Guest Jan 30, 2022

#1**+2 **

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**

CubeyThePenguin Jan 30, 2022