In a universe of $25$ numbers. At the time of the drawing you take $15$ numbers (non-repeatable)
I pick $15$ numbers.
The chances of having $15$ hits is the same to have exactly $5$ ?
Universe: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25 My picks are: 1,2,3,4,5,6,7,8,9,10,13,14,15 Drawing: 1,5,6,7,8,10,12,13,14,16,18,20,22,24,25
What are the odds of hit $15$ numbers What are the odds of hit $5$ numbers (but only $5$, not more)