SOLUTION: What is the probability that the product of two integers (not necessarily different integers) randomly selected from the numbers from 1 to 25, both inclusive, is odd

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Question 1024323: What is the probability that the product of two integers (not necessarily different integers) randomly selected from the numbers from 1 to 25, both inclusive, is odd
Found 2 solutions by Alan3354, Fombitz:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the probability that the product of two integers (not necessarily different integers) randomly selected from the numbers from 1 to 25, both inclusive, is odd
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Both integers must be odd for the product to be odd.
There are 13 odd integers from 1 to 25
--> (13/25)*(13/25) = 169/625
= 0.2704

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the total number of outcomes,
N=25%2A25=625
Looking at the products, the ones that have the first number even make an even product (2,4,6,...,24) so that's 12%2A25=300
The ones that have the first number odd, have the second number even on 12 of them so, 13%2A12=156
So then,
E=300%2B156
E=456
So then the probability of an odd product is,
P=%28625-456%29%2F625
P=169%2F625