Question 1075541
It becomes a Poisson with np, where n=18250 and p=0.000001.  You use a Poisson where n goes to infinity, p goes to 0, but np is NOT 0.
The parameter is 0.01825
Want the probability of NOT winning it and subtract it from 1
That probability is e^(-0,01825)=0.9819.  The other parts of the Poisson formula are 1, so they are ignored.
Therefore, the probability of winning is 1-0.9819=0.0091.
This is why one can predict number of winners in a lottery where 330 million tickets are sold and the probability of winning is 1 in 110 million.  np=3 and the distribution of winners and their probabilities can be taken from a table or a calculator easily.