Question 1024323
Look at the total number of outcomes,
{{{N=25*25=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*25=300}}}
The ones that have the first number odd, have the second number even on 12 of them so, {{{13*12=156}}}
So then,
{{{E=300+156}}}
{{{E=456}}}

So then the probability of an odd product is,
{{{P=(625-456)/625}}}
{{{P=169/625}}}