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The coupon collector's problem goes as follows: let's say you want to collect N coupons through draws that have an equal probability of getting any of the N coupons. What's the expected value of the number of draws to get all N coupons?
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The coupon collector’s problem goes as follows: let’s say you want to collect N coupons through draws that have an equal probability of getting any of the N coupons. What’s the expected value of the number of draws to get all N coupons?
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https://github.com/vivek3141
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Small typo: 7:02 should be 1/p_{n-3}. Credit to viewer Kyro for pointing this out!
Great video! I was wondering, how could this be extended to account for multiple cards per draw (eg. drawing 3 cards, at random, with N total cards)? Would it still be reliant on Expected Values?
I know I'm being nitpicky here, but words can often get very confusing when dealing with probability, so it's correct to say the expected value of a random variable, not an event.
Great video Vivek!
What is the distribution of this random variable? Is there a closed form expression for the probability mass function?
Well made video! I was frankly surprised how card picking leads us to harmonic numbers (not that I collect cards or anything lol)
Love your content!
Really nice video!
Thereβs a small typo at 7:02 on the p_{n-3}
Very elegant!
Oh god, I need to learn the manim library
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7:00 typo, the denominator says p_(n-2) instead of p_(n-3)
Great video Vivek! π