SOLUTION: Five Balls are numbered 1 through 5 and placed in a bowl. Josh will randomly choose a ball from the bowl, look at its number and then put it back into the bowl. Then Josh will ag

Question 175468: Five Balls are numbered 1 through 5 and placed in a bowl. Josh will randomly choose a ball from the bowl, look at its number and then put it back into the bowl. Then Josh will again randomly choose a ball from the bowl and look at its number. What is the probability that the product of the two numbers will be even greater than 10? Express your answer as a common fraction.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's look at all of the possible combinations that could be chosen and their product.
Here's a table that lists the outcomes in the following format.
First Pick,Second Pick,Product
.
.
.
1,1,1
1,2,2
1,3,3
1,4,4
1,5,5
2,1,2
2,2,4
2,3,6
2,4,8
2,5,10
3,1,3
3,2,6
3,3,9
3,4,12
3,5,15
4,1,4
4,2,8
4,3,12
4,4,16
4,5,20
5,1,5
5,2,10
5,3,15
5,4,20
5,5,25
.
.
.
There are 25 possible outcomes for the products(5x5).
Of those 25 products, 8 products are greater than 10.
P(Product>10)=(Number of Product>10)/(All possible Products)
P(Product>10)=8/25
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