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?
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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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