Please confirm if I am understanding this correctly?

• There are currently 10,000 INCOME (not all have been purchased from steem-engine but I'm using the circulating supply number)
• Say I purchase 100 INCOME at a cost of 1 STEEMP each
• This gives me a 1 in 100 (10,000 / 100) daily chance of winning, for entertainment purposes only ;) 1 SBI share
• Number of drawings per day could increase the chances of winning but not beyond 1 SBI per day

Now, to my question... How is this better than simply sending STEEM to @steembasicincome and guaranteeing myself 100 SBI shares, starting now, where I also sponsor a bunch of other Steemians for a dual benefit? I would have to win 100 drawings to get my 100 shares and I would not be choosing who to sponsor. My math skills are a bit fuzzy but it seems like it would be many, many days (years?) before I would end up winning 100 times. Have you made a post breaking down the math? Thanks.