trilobyte wrote:The way it works is you choose the highest tier you want to pay.
If you choose tier one, you will be in the draw for tier 1 (10,000 ticket opportunities).
If you choose tier two, you will be in the draw for tiers 1 and 2 (25,000 ticket opportunities).
If you choose tier three, you will be in the draw for tiers 1, 2, and 3 (40,000 ticket opportunities).
I'm not fond of this design. It means that those with the most money are more likely to get a ticket. I'd prefer the outline I queried:
- If you choose tier one, you will be in the draw for tier 1 (10,000 ticket opportunities).
- If you choose tier two, you will be in the draw for tier 2 and any remaining tickets from tier 1 (15,000 opportunities at tier 2 price + remainder of tier 1 at tier 1 price).
- If you choose tier three, you will be in the draw for tier 3 and any remaining tickets from tier 1 (unlikely) and tier 2 (15,000 opportunities at tier 3 price + remainder of tier 2 at tier 2 price + remainder of tier 1 at tier 1 price)
To win the game, you pick your highest price you'd be willing to pay (which is pretty true in both cases). Thinking while I type, let's say B1 burners sign up for tier 1, B2 for tier 2, and B3 for tier 3. In triolobyte's outline, the odds of getting a ticket are:
- Tier 1: 10,000 / (B1+B2+B3)
- Tier 2: 15,000 / (B2 + B3 - B2 & B3 people who already got a ticket)
- Tier 3: 15,000 / (B3 - B3 people who already got a ticket)
In mine, it works out something like:
- Tier 1: 10,000 / B1
- Tier 2: (15,000+remainder of tier 1) / B2
- Tier 3: (15,000+remainder of tier 1 & 2) / B3
So let's say 8,000 people sign up for tier 1, 12,000 for tier 2, and 12,000 for tier 3, then triolobyte's odds work out like this:
- Tier 1: 10,000 / 32,000 = 31% chance of getting a ticket, so 2,500 people in B1 get tickets, 3,750 people in B2 get tickets, 3,750 people in B3 get tickets. At this point 5,500 people who applied for only tier 1 get no ticket.
- Tier 2: Of the 24,000 people in B2 and B3, only 16,500 don't have a ticket already so the odds are 15,000 / 16,500 = 91% chance, so 7,500 more people in B2 get tickets and 7,500 more people in B3 get tickets. At this point, 750 people who applied for tier 1 or tier 2 get no ticket.
- Tier 3: Only 750 people from group B3 remains or, so everyone gets a ticket in that group. 14,250 tickets go unsold.
and mine are:
- Tier 1: 10,000 / 8,000 = everyone gets a ticket with 2,000 tickets remaining
- Tier 2: 17,000 / 12,000 = everyone gets a ticket with 5,000 tickets remain
- Tier 3: 20,000 / 12,000 = everyone gets a ticket with 8,000 tickets remaining