Probability: Dice?
A pair of dice is rolled. What is the probability that the sum is greater than 8 given that the numbers on the top faces match?
-------------------------------------------------------

answers:
oldprof say: p(SUM>8) = n(SUM>8)/N = 2/6 = 1/3 ANS.

NOTE: There are N = 6 ways to have matching sums. And n(SUM>8) = n(5,5) + n(6,6) = 2 ways to exceed (4,4) which is SUM = 8.
-
SteveReno say: your question assumes you are talking about 2 fair 6-sided dice? (2d6) quick glance at the photo below shows 2 of the 36 sums
meet both your conditions
no need to list all the possible sums
they that one with 5 dice!
-
alex say: Hint:
list all 36 outcomes
11
12
...
65
66
-
rotchm say: Hints:

There are six possibilities where they match: 11,22,33,44,55,66.
Out of those six possibilities, how many are such that the sum is greater than 8?
-
John say: If the numbers have to match, 33%.
-