3 votes 3 votes A fair die is rolled thrice and the random variable X records the number of different outcomes that result. For example, if two 6's and one 3's are rolled, then X records two different outcomes. What is the variance of X? Mathematical Logic probability + – Avdhesh Singh Rana asked Jan 14, 2018 • recategorized Jan 15, 2018 by Avdhesh Singh Rana Avdhesh Singh Rana 695 views answer comment Share Follow See all 17 Comments See all 17 17 Comments reply Show 14 previous comments Anu007 commented Jan 15, 2018 reply Follow Share Yes {1,1,1} = 1 different outcome {1,2,2} = 2 different outcome {1,2,3} 3 different outcome. 1 votes 1 votes saxena0612 commented Jan 15, 2018 reply Follow Share @ Anu007 I am still not satisfied i think $\{1,1,1\}$ should be $0$ its called $'0'$ different outcome $\Rightarrow$ similiar outcome whereas $\{1,1,1\}='1'$ does not make any sense of being called as $'1'$ different outcome. Maybe some one give better clarification. 0 votes 0 votes Anu007 commented Jan 15, 2018 reply Follow Share X records two different outcomes says how many distinct outcome are there. ex: {6,6,3} = 2 so with {1,1,1} = 1 distinct outcome. 1 votes 1 votes Please log in or register to add a comment.