5/49 lottery is when 5 different numbers are selected (without replacement) out of 49 possible numbers in range 1..49.
Total number of possible combinations is C(49, 5).
(1) If I make a stake once (on 5 numbers) - my chances are 1 / C(49, 5) - is over 1:10 million. If I make 100 stakes on 1 draw - I have 100/C(49,5) chances.
(2) If I make 1 stake for 100 next draws, I have 100 events and use Bernoulli's formula (C(n,k)*p^k*(1-p)^(n-k)) to get probability of k=1 events, each with probability p = 1/C(49,5) for n=100 trials.
(1) and (2) give the same result!
Is everything correct in my reasoning?
