.
The outcomes that give the sum of 6 are
(1,5), (2,4), (3,3), (4,2), (5,1) - in all, 5 outcomes.
The outcomes that give the sum of 7 are
(1,6), (2,5), (3,4), (4,3), (5,2), (6,1) - in all, 6 outcomes.
Thus, there are 5+6 = 11 favorable outcomes among 36 possible outcomes.
The probability to get the desired sum is . ANSWER
Solved.
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If you want to learn more about this subject and this class of problems, look into the lesson
- Rolling a pair of fair dice
in this site. You will find there many similar solved problems.
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.