A disguised Hacker offers Jackie, Inez, and Matt an opportunity to play a game involving a hat containing the numbers 1 - 4. After picking two numbers from the hat, the player must multiply the two numbers, and if the product is an even number, the player loses. Matt runs in and plays the game but loses. Jackie and Inez assess the fairness of the game and find out the chances of winning are only 1 in 6. The girls develop a plan that helps them beat Hacker at his own game.
Mrs. Doolan teaches Mandy how to fence and states that she was a champion. Mandy, believing Grim's story that Mrs. Doolan is a ghost, grows scared with Mrs. Doolan's displays of hospitality, believing she will be fed to Mrs. Doolan's pet spider. Mrs. Doolan clarifies that Grim has been spreading rumors about her ever since she beat him in a staring contest, and goes on to state that she has beaten him in just about everything, including a boxing match. It is heavily implied she was one of the female combatants in the emancipated duels, even though the dates on the photographs of her beating Grim do not reflect this.