Question 41634
Nate, you are close but VERY WRONG!


There are TWENTY-FIVE numbers that are greater than 25.
count 26 to 50 and you get 25. NOT 24.


Think about it in smaller terms; if you have 10 cards numbered 1 through 10, how many are greater than 5? The answer isn't 4. 6,7,8,9,10 that's FIVE numbers.





Take the problem one step at a time.


First choice:
You have 25 out of 50 chances to get a number greater than 25.


Second choice:
No replacement, so now you have 49 tickets left. 
So now you have 24 out of 49 chances to get a number greater than 25.


Third choice:
No replacement, so now you have 48 tickets left.
So now you have 23/48 chances to get a number greater than 25.


Multiply all three;
(25/50) * (24/49) * (23/48) = 23/196