Practice question on Min Max

Duration: 1 min

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The video presents a practice question from the UGC NET PAPER-2019 (U-10, Approaches to AI) involving a game tree with MAX and MIN nodes. The task is to determine the value of the root node using the Min-Max algorithm, with leaf values such as 7, 9, 6, 10, 12, 5, and 4. The tree structure includes alternating MAX and MIN levels, requiring backward induction to compute the root value. Multiple-choice options are provided: 4, 7, 11, and 12. The question is framed as a standard AI game theory problem assessing strategic decision-making under adversarial conditions.

Chapters

  1. 0:00 – 0:47 00:00-00:47

    The video presents a practice question from the UGC NET PAPER-2019 (U-10, Approaches to AI) involving a game tree with MAX and MIN nodes. The task is to determine the value of the root node using the Min-Max algorithm, with leaf nodes labeled 7, 9, 6, 10, 12, 5, and 4. The tree structure includes a MAX node at the root, followed by MIN nodes, and leaf values are assigned to terminal states. The question asks for the value of the root node, with multiple-choice options: 4, 7, 11, and 12. The instructor explains that the Min-Max algorithm evaluates each node by propagating values upward—MAX nodes choose the maximum value from their children, while MIN nodes select the minimum. The visible text confirms the problem context and source, with on-screen options indicating a multiple-choice format.

This segment teaches the Min-Max algorithm in adversarial game trees, focusing on backward induction. The root is a MAX node; its value depends on the maximum of its children's values, which are determined by MIN nodes selecting minimums from their respective subtrees. For example, a MIN node with children 7 and 9 evaluates to 7; another with 6 and 10 evaluates to 6. The root MAX node then selects the maximum of its children's values, resulting in a final value of 11. This addresses common student doubts about node evaluation order and how to handle alternating MAX/MIN layers in game trees.