Question 1193219
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Hey,  I looked at your post,  and I see that parts  (ii)  and  (iii)  are solved incorrectly.


I think that you don't know relevant theory.



From the other side,  I see your intention to do the job on your own,  which I like very much.


So,  my advise to you is to read a lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Rolling-a-pair-of-fair-dice.lesson>Rolling a pair of fair dice</A> 

in this site. &nbsp;You will find there many other similar solved problems.



After reading it, &nbsp;you will be able to solve the mentioned parts in a correct way, &nbsp;I believe.



When you redo and complete the parts &nbsp;(ii) &nbsp;and &nbsp;(iii) &nbsp;on your own, &nbsp;you may re-post your solution to this forum &nbsp;(to me) &nbsp;for checking.



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David, &nbsp;&nbsp;I got your comment.


Your error in parts &nbsp;(ii) &nbsp;and &nbsp;(iii) &nbsp;is that you consider &nbsp;X &nbsp;as a variable for single separate throw,  

while the problem &nbsp;DEFINES &nbsp;&nbsp;X &nbsp;&nbsp;as the sum of values, &nbsp;when a pair of dice is thrown.



So, &nbsp;do not argue with me . . . // &nbsp;&nbsp;If your desire to argue with me prevails your desire to learn, &nbsp;then you are not my customer . . . 



You better &nbsp;READ &nbsp;the lesson which &nbsp;I &nbsp;recommended you.



It is written &nbsp;SPECIALLY &nbsp;for those individuals who care about developing their  mind, &nbsp;their skills and their knowledge.



I will be glad to contact with you later, &nbsp;when I see your progress.