Please is it possible to do a statistical analysis on the possible outcomes listed above?
Not yet, too many unknowns. The following questions need to be answered before it can be calculated.
1a) What happens to the picture cards, are the removed or left in?
1b) What is the value(s) of the picture cards?
2) How many cards are placed in each circle?
3) Are any cards placed in the intersections?
4) How does the house win? Is it just if the players don't, or is there a house wins combo like the zero in roulette?
There's probably only a couple of hours work in it so I doubt you will have problem finding help but before you go too far I think you need to ask "is there any need for another casino game?". You game does seem novel but there's already a lot of different events at a casino.
Hope it goes well for you.