1. ## Probability puzzle

There are 5000 tickets in a raffle and each person buys only one ticket.

The raffle is held 19 times per year and the same 5000 people always buy the tickets.

What are the chances of someone winning the raffle twice in the 19 draws?

2. Originally Posted by JF72
There are 5000 tickets in a raffle and each person buys only one ticket.

The raffle is held 19 times per year and the same 5000 people always buy the tickets.

What are the chances of someone winning the raffle twice in the 19 draws?
Bernoulli trials will work here: see post #2 here or post #34 here.

for this problem you have $n = 19$, $k = 2$ and $p = \frac 1{5000}$