Since I don't feel digging though a 27 page thread which is mostly about RMT and lotto anyways:
Assumption: Player takes the gil price.
mog bonanza ticket = 1k.
p_rank_1 = 1/100 000, p_rank_2 = 1/10 000, ...
gil_rank_1 = 100 000 000, gil_rank_2 = 10 000 000, ...
expected gil value = sum_i(p_rank_i * gil_rank_i) - ticket price
= 4 * 1000 - 1000
= 3k.
10 tickets for a character = 30k gil per character statistically.
XI Wiki


