I'm struggling with a difficult problem, so I asking for your help.
This is it: A football fan wants to collect a set of 132 trading cards. Therefore he buys 2 packs/day with 1 card/pack. The chance is uniform, p=1/132. How many days does it take to collect the full set?
Normally, i have to use the program R to deal with this problem, but if you don't know how to begin, it's hard to program it. (comma is for decimal separation)
This is what i think i should do:
Give the cards a number from x=0 to x=131.
Then I calculate how many packs on average i need to buy. Thus y= 132/(132-x)
Then i sum up the result for each card x --> Σ(132/(132-x)) = 721,2217
This should then be divided by 2 packs per day, thus 360,6108 days.
Now i'm stuck because these results doesn't seem realistic to me. Is this calculation correct or is it wrong?
I've read the "coupon collector problem" on wiki, but i don't quite understand the explanation of it.
Could you help me, please?