Conn. 5-card Poker Lottery

CT has a new Lottery offering, and thought to share this so as to confirm the math, and expected payouts per ticket price.

For $2.00 The Customer receives a Quick-Pick 5-card Poker hand. There are two ways (games) the Customer is participant.

First, is the Instant win portion of the offering. The $2 purchase price pays as follows;

One Pair of 5's $2 (Free Ticket)
One Pair of J's - A's $3
Two Pair $5
Triples $10
Straight $25
Flush $55
Full House $75
Quads $100
Straight-Flush $555
Royal-Straight-Flush $5,555

Win or lose, the generated ticket participates in a nightly "lotto-style" drawing. Five cards are randomly drawn. The payout
of this offering is as follows;

match all 5 cards $255,555
match any 4 cards $555
match any 3 cards $20

I'm sure my math is not correct on the full payout, because I'm not sure how to include the chance of winning both offerings.
When treated as separate games that total $2.00, I come up with $1.49 payout per $2 (about 75%). The manner of the math
is to take combinations x pay. When I did that I came up with 3,872,120 / 2,598,960 = 1.49 / $2 price.

Ignoring prize splitting of the $255,555 because I have no idea how much this game will sell, I get $1.4727 per $2 (73.64%) because a pair of 5s is a free ticket, not $2. If it was $2 for a pair of 5s, then I would get $1.49 per $2.

Not shabby for a lottery game. Most states are in the 60s for games like this.

Your methodology is the correct way though. You just divide by the price to get the return.

This being an "on-demand" game probably OK. The $2 scratchers are about 66% payout with top prize 20G's usually, and then theres Powerball and MegaMillions that basically stinks if you don't win the JP, and finally the $2 N.E. regional lotto which is 2G's a day for life (40Million:1 +). So this finds a niche, if you know whats going on. Yeah, I had that not too bad thought myself if I did the math reasonably well. Retailers get their nickel on this one, so CT gets 42.72c minus expenses.

Just a heads-up here... First day sales inferred from payouts of both games indicates sales ~= 100,000 tickets. No lotto grand prize winner or Royal Flush winner, there were 3 Str-Fl's. Lotto prize on day 1 Was a pair of Aces and three others.