Question 1162974
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(a)  P(the sum is even) = P(1st die is even)*P(2nd die is even) + P(1st die is odd)*P(2nd die is odd) = {{{(1/2)*(1/2)}}} + {{{(1/2)*(1/2)}}} = {{{2/4}}} = {{{1/2}}}.    <U>ANSWER</U>
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Regarding questions &nbsp;(b) &nbsp;and &nbsp;(c), &nbsp;read the 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 and will learn on how to solve such problems on your own.


As I understand, &nbsp;it is your &nbsp;SUPERIOR &nbsp;goal visiting this forum.



Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this online textbook under the topic &nbsp;"<U>Solved problems on Probability</U>". 



Save the link to this textbook together with its description


Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson


into your archive and use when it is needed.