Suppose you roll a six-sided die two times hoping to get two numbers whose sum is even. What is the sample space? How many favorable outcomes are there?

Question

nailpolisheverywhere · Answer

6 choices for first roll, 6 for the second by the counting principle the number of outcomes is therefore 6×6=36

kropot72 · Answer

The sample space has 36 possible combinations of numbers. These can be set out in column form as follows: 
6,6   5,6   4,6   3,6   2,6   1,6
6,5   5,5   4,5   3,5   2,5   1,5 
6,4   5,4   4,4   3,4   2,4   1,4 
6,3   5,3   4,3   3,3   2,3   1,3 
6,2   5,2   4,2   3,2   2,2   1,2 
6,1   5,1   4,1   3,1   2,1   1,1 
Can you find the combinations whose sum is even?

anonymous · Answer

Okay, yeah I see that. Thank you nailpolisheverywhere and kropot72.

kropot72 · Answer

You're welcome :)