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alimuhammadtariq
There are 1000 lotteries
each lottery has 1000 tickets
each lottery has 1 prize
You buy 1 ticket in each of 1000 lotteries thus u end up with 1000 tickets

Q what is the probability that you win at least 3 prizes.

Probability of winning a lottery = 1/1000
probability of not winning a lottery = 999/1000

probability of winning none = (999/1000)^1000
Probability of winning 1 lottery = 1000 C1 *(999/1000)^999 * 1/1000=(999/1000)^999
Probability of winning 2 lotteries = 1000 C2 * (999/1000)^998 * 1/1000^2 = (999/1000)^999/2

So probability of winning at least 3 prizes = 1- (999/1000)^1000 - (999/1000)^999- (999/1000)^999/2
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question is on youtube by name "Second (more difficult) Lottery Problem" could not post link as i am new not allowed.

Kindly post the part of the link leaving https , youtube etc..

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