Consider the game tree given below: Here ◯ and ◻ represents MIN and MAX nodes…
2019
Consider the game tree given below:

Here ◯ and ◻ represents MIN and MAX nodes respectively. The value of the root node of the game tree is
- A.
14
- B.
17
- C.
111
- D.
112
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Correct answer: B
Solution: Evaluate the tree from bottom to top using the minimax algorithm.
Rules:
- MIN nodes choose the smaller value among their children.
- MAX nodes choose the larger value among their children.
Step 1: Evaluate the lowest-level MIN nodes
From the visible leaf values in the image:
- min(17, 19) = 17
- min(16, 111) = 16
- min(111, 112) = 111
- min(15, 14) = 14
Step 2: Evaluate the MAX nodes above them
- max(17, 16) = 17
- max(111, 112) = 112
- max(15, 14) = 15
Step 3: Evaluate the upper MIN nodes
- Left MIN node: min(17, 112) = 17
- Right MIN node: min(15, 14) = 14
Step 4: Evaluate the root MAX node
- max(17, 14) = 17
Final Answer: 17
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