What is the probability of drawing 2 face cards and 3 numbered spades from a deck of 52 cards if you draw 5 cards? Show your work.
i dont care that this wasnt asked at me im still answering it because im probably wrong and i need the practice anyway
disclaimer: i have no clue what the forget i am doing
DRAWING ALL AT ONCE
drawing one face card: 12/52
drawing another face card: 11/51
12 11 132
--- * ---- = -------
52 51 2652
drawing a single numbered spade: 9/50
drawing another: 8/49
drawing another: 7/48
9 8 7 504
--- * --- * --- = -------
50 49 48 117600
504 132 66528
---------- * ------- = -------------
117600 2652 311875200
welp i'm a dumbass