Question: You are rolling a six-sided dice tricky dice having the following faces( 3, 3, 1 ,4, 5,6) each being equally likely in a casino where

You are rolling a six-sided dice tricky dice having the following faces( 3, 3, 1 ,4, 5,6) each being equally likely in a casino where you will win $100 if role a 3.

a.)What is the probability that you will win on the 9th roll (regardless of whether you won before or not)?

b.) What is the probability that the first time you win is on the 11th roll?

c.)What is the expected value of the number of rolls it will take you to win?

d.)What is the variance of the number of number of rolls it will take you to win?

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