New difficult scratch cards to really test your luck. (Scratching Cards #2)

This is the new scratch card to try. I haven't done any challenges yet.
Price : Still 1$
New prices and odds.
Free ticket, 1/20 (5%) chance.
5$, 1/50 (2%) chance.
10$, 1/100(only 1%!) chance.
Grand prize coming fast, still 100$, chances now are 0.1%. (or 1 out of 1000.)
Try it, there will be no more changes.

Let us assume there are 1000 cards in play:

1) Since 5% of them get you a new card we deal effectively with 800 cards.

2) From the 1000 cards 20 win 5$
3) From the 1000 cards 10 with 10$
4) From the 1000 cards 1 wins 100$

So, overall, you sell: 800 cards for 1 $ each (200 of them are free ticket replacements), giving you 800$.

You spend: 20x5$ = 100$, 10x10$ = 100$ and 1x100$ = 100$. You give 300$ of the 800$ back.

This means, as a buyer of these cards, you have a 3:8 (slightly above 30%) chance of getting your money (the 1$ for a card times the number you buy) back.

@Nomen-Nonatur said in #2:
> Let us assume there are 1000 cards in play:
>
> 1) Since 5% of them get you a new card we deal effectively with 800 cards.
>
> 2) From the 1000 cards 20 win 5$
> 3) From the 1000 cards 10 with 10$
> 4) From the 1000 cards 1 wins 100$
>
> So, overall, you sell: 800 cards for 1 $ each (200 of them are free ticket replacements), giving you 800$.
>
> You spend: 20x5$ = 100$, 10x10$ = 100$ and 1x100$ = 100$. You give 300$ of the 800$ back.
>
> This means, as a buyer of these cards, you have a 3:8 (slightly above 30%) chance of getting your money (the 1$ for a card times the number you buy) back.
I dunno why I want to create/buy a REAL scratch card now.