Applied Probability

Answer:

CASINO

Written by Malcolm Certain.

After solving the clues, the answers must be placed onto a single zero roulette board (clued by flavortext and color of the clues) in order. Note that the order of the clues is numeric, which can be inferred by the colors in order matching the numeric order of the colors on a single roulette wheel.

ClueEnumerationAnswerRoulette order
GLaDOS's weapon of choice10NEUROTOXIN23
Asbestos-induced cancer12MESOTHELIOMA6
Gossip Girl actor2 8ED WESTWICK35
Biological catalyst6ENZYME4
Metabolic pathway that breaks down glucose10GLYCOLYSIS19
One who reads without posting6LURKER10
Phallic West Coast clam7GEODUCK31
Yeast or baking soda9LEAVENING16
Something you can get close to, but never reach9ASYMPTOTE27
Paperboys7NEWSIES18
Dispose of glass or cardboard7RECYCLE14
Animal chef in Everything Everywhere All at Once7RACCOON33
Video game series spanning RTS, MMORPG, and CCG genres8WARCRAFT12
Boxing franchise5ROCKY25
Dynamite of film8NAPOLEON2
Bears are often in this11HIBERNATION21
Slander6DEFAME8
Causes of trade deficits7IMPORTS29
Common homes for dragons8DUNGEONS3
Like a Cauchy sequence in a compact metric space10CONVERGENT24
2024 Carolina Panthers first round pick6 7XAVIERLEGETTE5
Top chess engine9STOCKFISH28
Responsiveness, in economics10ELASTICITY17
Pitch3TAR20
Doctor with many contacts15OPHTHAMOLOGIST7
Arugula6ROCKET36
Deafening silence and alone together, for two9OXYMORONS11
Type of gate in The Elder Scrolls8OBLIVION32
Overdose prevention drug8NALOXONE30
State for the nonbelieving6DENIAL15
Shelf dweller3ELF26
Recipe components11INGREDIENTS1
Zwischenzug10INTERMEZZO22
Hades' home10UNDERWORLD9
One missing a kidney, perhaps5DONOR34
Disciples of Ayn Rand12OBJECTIVISTS13

Going clockwise (starting from 0) and taking the first letter gives the cluephrase INDEX MODULO WORD LENGTH INCREASING ORDER.

Indexing into the words in increasing order (1 to 36) using numbers modulo the word's length gives the final cluephrase of NEW YORK NEW YORK OR MONTE CARLO SIX LETTERS.

New York-New York and Monte Carlo are both examples of a CASINO, which is the answer to the puzzle.