Poker odds question about the movie Maverick

The Game Room
1

So I’m bored this afternoon and I’m watching Maverick, and the last hand has the Commodore drawing four 8s and a Queen of Hearts, The Angel drawing a Straight Flush 3 to 7 of Hearts, and Maverick drawing a Royal Flush of Spades. The dealer was crooked and the deck was fixed, so the only surprise, other than the patent absurdity of the hands drawn, was that the Ace of Spades came out of a fixed deck for the win.
Individually the odds of drawing those without wild cards are already astronomical, but what are the odds of all three hands coming simultaneously out of a straight 52-card deck with a fair deal? My math skills are so deteriorated that not only am I not up to the challenge I don’t even remember where to start.

Also, for completeness’ sake, the discards:

Commodore: King of Hearts, Jack of Diamonds
The Angel: 2 of Spades, 7 of Clubs
Maverick: 2 of Diamonds

2

I think the odds of dealt a specific 5 cards are 5/52 * 4/51 * 3/50 * 2/49 * 1/48 or about 1 in 2.6 Million

Assuming Player 1 has his five cards, Player 2 odds of being dealt a specific hand is 1 in 1 in 1.5 Million, 5/47 * 4/46 * 3/45 * 2/44 * 1/43

Assuming Players 1 and 2 have their hands, Players 3 odds are 1 in 850,000. Similar math

Multiplies together, this comes out to 1 in 3.4 x 1018. For 5 card stud poker.

Since you are talking about draw poker, the odds get shortened considerably, but still an extreme longshot.