An afterthought...
the trick may be computing the P(Even) which can be computed if the assumption is that the balls (which are 25) are assigned numbers 1 through 10, uniquely or duplicated i.e. more than one ball can have an even or odd number.
On second thoughts, it would seem likely that as the number of balls > 10, the numbers would have to repeat.
In which case the assignment could be in any manner.
If we assume that the numbers are unique i.e. non-repeating then all the balls would not have numbers (which is not the case as per the problem).
So, in summary, changing this to E.