I DID MATH FOR THIS.
SO I FUCKING CALCULATED WHAT THE ODDS ARE OF DRAWING THE 10 SAME FUCKING CARDS THAT YUGI ALWAYS FUCKING USES (DARK MAGICIAN, LIVING ARROW, THAT FUCKING TRIBBLE CARD + THE MULTIPLIER, MIRROR FORCE, CURSE OF DRAGON, GAIA THE FIERCE KNIGHT, CELTIC WARRIOR, MAGICAL HAT, AND THE STUPID BOX TRICK)
AND FOR ONE GAME (ONE FUCKING GAME!!!!!!!!) THE ODDS ARE 1 IN 92 279 716 000 000 000.
SO DOING THAT LIKE EIGHT FUCKING TIMES IN A ROW ARE SO ASTRONOMICALLY IMPROBABLE THAT IT WOULD BE CONSIDERED IMPOSSIBLE
DO YOU KNOW WHAT WAS CONSIDERED “IMPOSSIBLE” IN YGO? ASSEMBLING EXODIA. DO YOU KNOW WHAT THE ODDS OF DRAWING EXODIA ARE?
1 in 658 008!!!!!!!
SO IT IS INFINITELY MORE LIKELY TO DRAW ALL FIVE PIECES OF EXODIA ON THE FIRST DRAW THAN IT IS TO DRAW THE CARDS THAT YUGI USES FROM THE FUCKING GET GO ALL THE GODDAMN MOTHERFUCKING TIME
I’M CALLING SHENANIGANS ON THIS BULLHONKY.
Hate to be that guy, but I think your math is a little off, there. Assuming Yugi runs a standard deck of 40 cards (the legal minimum in a YGO tournament), then his odds of drawing those ten cards (in no particular order) is actually
(10/40) * (9/39) * (8/38) * (7/37) * (6/36) * (5/35) * (4/34) * (3/33) * (2/32) * (1/31)
Which, when reduced, comes out to only ("only") 1 in 847,660,528!
If you’re calculating the odds of drawing those ten cards out of a sixty card deck (the legal maximum in a YGO tournament), then
(10/60) * (9/59) * (8/58) * (7/57) * (6/56) * (5/55) * (4/54) * (3/53) * (2/52) * (1/51)
Which reduces down to 1 in 75,394,027,566!
Now if we’re calculating drawing the ten cards in a specific order (Dark Magician first, then Kuriboh, then Multiply, etc etc), that’s when the odds get even more unrealistic.
In a 40-card deck, the odds are 1 in 3,075,990,524,006,400.
In a 60-card deck, it’s 1 in 273,589,847,231,500,800.
I forgot to mention that these odds were calculated assuming that Yugi only runs one copy of each card in his deck. If he runs three copies of each one in his deck (unlikely, given the variety we see played in the show/manga), those odds become much more likely. Still nothing terribly realistic, but more likely!