6 card hand on 3 card poker

A relatively new, 3 card poker bet is a rolling jackpot.

The player needs to make a 5 card hand from the 6 cards (player's 3 + dealer's 3)
To get the jackpot the player needs to make a 5 card royal flush with spades.

For just a flush or a straight, I'm wondering what the odds are to get a 6 card flush or straight? (using all six cards, instead of 5)

Quote: piroukay

A relatively new, 3 card poker bet is a rolling jackpot.

The player needs to make a 5 card hand from the 6 cards (player's 3 + dealer's 3)
To get the jackpot the player needs to make a 5 card royal flush with spades.

For just a flush or a straight, I'm wondering what the odds are to get a 6 card flush or straight? (using all six cards, instead of 5)

There are 20,358,520 6-card combinations. Of these, 36 are straight flushes. 6,828 are flushes that are not also straights. And 36,828 are straights that are not also flushes.

(20,358,520 = combin(52,6); 36 = 9 * 4; 6,828 = 4 * combin(13,6) - 36; and 36,828 = 9 * 4^6 - 36.)

Quote: ChesterDog

There are 20,358,520 6-card combinations. Of these, 36 are straight flushes. 6,828 are flushes that are not also straights. And 36,828 are straights that are not also flushes.

(20,358,520 = combin(52,6); 36 = 9 * 4; 6,828 = 4 * combin(13,6) - 36; and 36,828 = 9 * 4^6 - 36.)

Wouldn't a 9-A SF also be a RF?

Yeah, I suppose it would. But if they have that just with the five cards they are in line for a decent payout anyway.