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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) = + = = . ANSWER
Regarding questions (b) and (c), read the lesson
- Rolling a pair of fair dice
in this site. You will find there many other similar solved problems and will learn on how to solve such problems on your own.
As I understand, it is your SUPERIOR goal visiting this forum.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Solved problems on Probability".
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.