Suppose That Galina and Vlada Are Playing a Finitely Repeated

question 49

Multiple Choice

Suppose that Galina and Vlada are playing a finitely repeated flag game. The game starts with seven flags in the ground, and the players take turns removing the flags. A player must remove either one, two, or three flags per turn. The player who takes the last flag out of the ground, whether it is by itself or in a group, wins the game. Assume that Galina decides first on how many flags to remove. How many flags should Galina remove on her first turn to guarantee that she will win the game? Use backward induction.

• A) one
• B) two
• C) three
• D) either one or two

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Definitions:

High-power

Refers to an objective lens on a microscope with a high magnification capability, used for examining small or detailed samples.

Iris Diaphragm

It is an adjustable aperture in optical devices, like microscopes and cameras, controlling the amount of light passing through the lens.

Revolving Nosepiece

A rotating part of a microscope that holds the objectives, allowing for quick changing of magnification by rotating the objectives into position.

Substage Light

A light source located beneath the stage of a microscope that illuminates the specimen from below, enhancing its visibility.