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 agai

Algebra ->  Probability-and-statistics -> 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 agai      Log On


   



Question 337646: 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 and greater than 10? Express your answer as a common fraction.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at all of the possible combinations and their products.
There are 25 of them.
1 1 1
2 1 2
3 1 3
4 1 4
5 1 5
1 2 2
2 2 4
3 2 6
4 2 8
5 2 10
1 3 3
2 3 6
3 3 9
4 3 12
5 3 15
1 4 4
2 4 8
3 4 12
4 4 16
5 4 20
1 5 5
2 5 10
3 5 15
4 5 20
5 5 25
Of those 25, 10 have a product of 10 or greater.
P%28Product%3E=10%29=10%2F25=2%2F5