Probability that at least one ball having the number on it as the round it was picked?

Asked Oct 24 '21 at 13:43

Active Oct 24 '21 at 15:43

Viewed 48 times

The question goes: You have n balls in a hat with each having a number 1,2,3..n on it, and you blindly pick a ball without replacement, picking one ball in each of n rounds. what is the probability that at least one ball has the same number as the round it was picked in?

I am not trying to make you make my assignment, since this is actually for practise. I just have a hard time figuring out how to calculate it, so I could use some help

asked Oct 24 '21 at 13:43

ninjarubberband

2

See Derangements – lulu Oct 24 '21 at 13:51
It is easier to find the probability that none match. See for example https://math.stackexchange.com/questions/83380/i-have-a-problem-understanding-the-proof-of-rencontres-numbers-derangements – Henry Nov 24 '21 at 16:12

Probability that at least one ball having the number on it as the round it was picked?

0 Answers0