Probability the fifth ball drawn is number one
A bag holds balls numbered through . You draw them out one at a time without replacement, in a uniformly random order.
What is the probability that the fifth ball drawn is ball number ? What is the probability it is an even-numbered ball?
Show a hint
Forget balls versus cards. A random draw order treats every position identically. Which position you ask about should not matter.
Your answer
This one is open-ended. Work it through, then check your reasoning against the full solution.