3. GAME Kimiko and Miko are playing a game in which each girl rolls a
number cube. If the sum of the numbers is a prime number, then Miko
wins. Otherwise Kimiko wins. Find the sample space. Then determine
whether the game is fair.
2 + 1 = 3
1 + 2 = 3
1 + 1 = 2
1 + 3 = 4
2 + 2 = 4
3 + 1 = 4
1 + 4 = 5
2 + 3 = 5
3 + 2 = 5
4 + 1 = 5
1 + 6 = 7
2+5 = 7
3+ 4 = 7
4+3=7
5+2=7
1 + 5 = 6
2 + 4 = 6
3 + 3 = 6
4 + 2 = 6
5 + 1 = 6
2 + 6 = 8
3 + 5 = 8
4 + 4 = 8
5+3=8
6 + 2 = 8
3 + 6 = 9
4 + 5 = 9
5 + 4 = 9
6 + 3 = 9
4 + 6 = 10
5 + 5 = 10
6 + 4 = 10
15 + 6 = 11
16 + 5 = 11
6 + 6 = 12
6 + 1 = 7

Course 2 • Chapter 9 Probability