Intro -- Preface -- Contents -- to 1 Introduction -- Gambling and Gaming -- A Short History -- Coin -- Dice -- Roulette -- Other Mechanical Randomizers -- Dynamics and Predictability -- Sensitive Dependence on Initial Conditions -- Fractal Basin Boundaries -- References -- to 2 General Motion of a Rigid Body -- Basic Equations of Motion of a Rigid Body -- Dynamics Equations in General Form -- Newton--Euler Equations -- Precession of a Body -- Precession of Symmetric Top -- Torque-Free Motion of Spherical Top -- Orientation of a Rigid Body -- Euler Angles and Other Conventions -- Euler's Parameters -- Air Resistance Forces and Moments -- Modeling of Bodies Impact -- References -- to 3 Equations of the Randomizer's Dynamics -- Equations of the Coin Toss -- Free Fall of a Coin -- Coin Motion in the Air -- Coin Bounces on the Floor -- Equations of the Die Throw -- Free Fall of a Die -- Die Bounces on the Table -- Equations of the Roulette Run -- Spinning Wheel Motion Analysis -- The Ball Motion on Fixed Wheel Surfaces -- Collision of the Ball with a Deflector (C(Dk)) -- Free Fall of the Ball (F) -- Landing of the Ball -- Collision of the Ball with Rotating Conical Surface (C(CC)) -- Rolling of the Ball on the Spinning Wheel (R(RC)) -- The Ball Landing in the Pocket (L(Pk)) -- References -- to 4 Dynamics and Predictability -- Experimental Observations -- Simplified Models -- Keller's Model -- Precession of a Coin -- Plane Motion Model of a Cubic Die -- Nagler--Richter's Model of a Die -- Coin Tossing Simulation -- Simulations of the Die Throw -- Free Fall Probability Distribution -- Simulation of Dice Bouncing on the Table -- Simulation of the Roulette Run -- On the Predictability of Mechanical Randomizer -- References -- to 5 Nature of Randomness in Mechanical Systems -- Randomness and Determinism.

Why the Tossed Coin or Die Can Approximate the Random Process? -- Why the Impacts Induce Pseudorandomness? -- References -- Index.