Lecture 34 · Performance

The spectator deals the winning poker hands

Video in production

This lecture is still face down. Its script is written; filming and animation are under way.

Meanwhile, play the trick

What you will learn

Perform a corrected two-hand Gilbreath poker comparison and prove the endpoint and double-deal routing guarantees.

The trick in this lecture The Spectator Deals Poker You split, riffle and deal twice. Hand 1 is a flush, hand 5 a straight, and the flush wins. Play the trick

Before this lecture

In this lecture

An outline of the lecture, scene by scene, with the statements that appear on screen. It follows the draft script, so details may change in production.

  1. Set the exact two-hand promise

    At the table
    • Compare hand 1 with hand 5
    • Choose split 10–15
  2. Execute both deals

    At the table
    • P1 above P2 above P3 above P4 above P5
  3. Reveal the designated comparison

    At the table
    • H1: flush; H5: ordinary straight
  4. Show the two-layer preparation

    • Rank period 5; middle suit period 3
  5. Prove the endpoint groups

    • j − 5 ≥ 5
    • 20 − j ≥ 5
    • First 5: straight; last 5: spades
  6. Prove the double-deal routing

    • Practice tops → H1
    • Practice bottoms → H5
  7. Audit a sample and correction

    • Corrected range: 10–15
    • Straight arrives in hand 5
  8. Play and retrieve

    • Endpoint proof + routing proof

Companion interactive

Route a guaranteed mixed-suit straight and spade flush into designated final hands.

The trick page is this lecture’s companion: be the spectator, lift the curtain to step through why it works, try the challenge, then learn the handling.

Open The Spectator Deals Poker

Sources

How these sources were used
  • Persi Diaconis and Ron Graham, Magical Mathematics: Prepared-packet double-deal mechanism retained, with explicitly corrected split range, destination hand and middle suit distribution. Broad source range and second-hand claim do not follow under stated ordinary face-down dealing.