SOLUTION: You have two bags. In each bag you have five balls labeled 1-5. If you randomly pick a ball from each bag, what is the probability that the balls picked will be the sum of nine?

Question 204461: You have two bags. In each bag you have five balls labeled 1-5. If you randomly pick a ball from each bag, what is the probability that the balls picked will be the sum of nine?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Simply draw up a two dimensional table in which the left hand side represents bag 1 and the top represents bag 2. Any cell is simply the sum of its corresponding left side and top side.

	1	2	3	4	5
1	2	3	4	5	6
2	3	4	5	6	7
3	4	5	6	7	8
4	5	6	7	8	9
5	6	7	8	9	10

Note: the red values represent the numbers on the balls and the black values are the sums.

Now looking at the table, we can see that there are only 2 sums of 9 (namely 5 and 4 or 4 and 5). Since there are a total of 25 possible sums (5*5=25), this means that the probability is or 0.08 in decimal form (which is an 8% chance).
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