Six rooms. Each one is a trick your own brain plays at a game of chance. You met the first one last lesson — the near-miss. Five doors left. Here's the rule of this place: every room catches you doing it before it tells you what it is.
A fair coin — honest 50/50, no tricks — just landed like this:
Whatever you felt just then — the pull toward "it's due," or "it's on a roll" — hold onto it. That feeling has a name, and it's behind the first door. Most people don't pick the boring true answer on the first try. That's the whole point of this gallery.
You just walked through all five. Here they are with the one sentence to listen for — in a friend, in an ad, in your own head. The gold tile is the one you already met in 2.3.
Here's the thread. These aren't six separate mistakes. They're six different ways of believing the same impossible thing: that you can out-guess, out-feel, or out-stubborn something that has no memory and no mercy. The wheel doesn't know you're due, doesn't know you're hot, and doesn't care that you're down.
Which of the six rooms felt most like you? Not a confession — just notice it. Which sentence have you actually caught yourself thinking — "it's due," "I've got a system," "I'm hot right now," "I usually win these," "one more to get it back," or "so close, one more"?
Tversky, A., & Kahneman, D. (1971). Belief in the law of small numbers. Psychological Bulletin, 76(2), 105–110. semanticscholar.org
Langer, E. J. (1975). The illusion of control. Journal of Personality and Social Psychology, 32(2), 311–328. nuovoeutile.it
Gilovich, T., Vallone, R., & Tversky, A. (1985). The hot hand in basketball: On the misperception of random sequences. Cognitive Psychology, 17(3), 295–314. colorado.edu
Nickerson, R. S. (1998). Confirmation bias: A ubiquitous phenomenon in many guises. Review of General Psychology, 2(2), 175–220. ucsd.edu
American Psychiatric Association. (2013). Diagnostic and Statistical Manual of Mental Disorders (5th ed.). Gambling disorder — "chasing one's losses" criterion.
Gambler's fallacy & the wheel's "memory": Tversky & Kahneman (1971) established that people misread short random sequences as more representative than they are — the basis for expecting a result to be "due." Each spin of a fair wheel is independent (carried from Lesson 2.1).
Illusion of control: Langer (1975) showed that introducing skill cues into pure-chance tasks — choosing your own number, active involvement — inflates confidence above the objective odds. The odds do not move.
Hot-hand — deliberately scoped: Gilovich, Vallone & Tversky (1985) found no predictive "hotness" in basketball shooting and framed it as misperceived randomness. Miller & Sanjurjo (2018, Econometrica 86(6), 2019–2047) later identified a selection bias in that analysis; corrected, a real hot hand can reappear in skill tasks. This lesson therefore restricts the fallacy to chance-based outcomes (coins, wheels, loot boxes), where independence holds, and explicitly tells students that skill-domain streaks are genuinely debated. Do not let it read as "streaks never exist."
Confirmation bias: Nickerson (1998) reviews the tendency to notice and remember evidence that fits an existing belief. In gambling this shows up as remembering wins vividly and letting losses fade, inflating perceived success.
Chasing losses: A DSM-5 diagnostic criterion for gambling disorder: "After losing money gambling, often returns another day to get even ('chasing' one's losses)." Presented here strictly as a mechanism (the required stake compounds against an edge — previews bankroll & ruin in 2.6), never as a judgment about any student.
Near-miss (6th tile): carried from Lesson 2.3; named on the wall, not re-taught (Clark et al., 2009; Habib & Dixon, 2010).
Note for the build team: every claim here is scoped to chance-based products, where independence holds. The hot-hand room must keep the skill-domain caveat. Nothing in this lesson diagnoses a student — the distortions are described as engineered, universal reactions, never personal failings.