First, let's list all the possible combinations of tiles that Kelly can draw:
1. (1, 1)
2. (1, 4)
3. (1, 5)
4. (1, 8)
5. (4, 1)
6. (4, 4)
7. (4, 5)
8. (4, 8)
9. (5, 1)
10. (5, 4)
11. (5, 5)
12. (5, 8)
13. (8, 1)
14. (8, 4)
15. (8, 5)
16. (8, 8)
Out of these 16 possible combinations, there are 6 combinations where the sum of the numbers is more than 7:
- (4, 8)
- (5, 5)
- (5, 8)
- (8, 4)
- (8, 5)
- (8, 8)
Therefore, the probability that the sum of the numbers is more than 7 is 6/16 = 3/8.
A box contains four tiles, numbered 1, 4, 5, and 8 as shown. Kelly randomly chooses one tile, places it back in the box, then chooses a second tile. what is the probability that the sum of the numbers is more than 7
1 answer