The Following Is Called the Chaos Game

question 11

Multiple Choice

The following is called the Chaos Game. Start with a square ABCD in which A is located at (0, 0) , B is
located at (27, 0) , C is located at (27, 27) , and D is located at (0, 27) . Then, roll a fair die. We will say
that A is the winner if we roll a 1, B is the winner if we roll a 2, C is the winner if we roll a 3, and D is
the winner if we roll a 4. If we roll a 5 or 6, we disregard the roll and roll again. Each roll of the die generates a point inside or on the boundary of the square according to the following rules.
Start: Roll the die. Mark the winning vertex and call it P1.
Step 1: Roll the die again. From P1 move two-thirds of the way straight towards the next
winning vertex. Mark this point and call it P2.
Steps 2, 3, etc.: Continue rolling the die, each time moving to a point two-thirds of the way
from the last position to the winning vertex.
The grid below show the square ABCD.

• A) (2,1,4)
• B) (1,3,3)
• C) (2,1,3)
• D) (2,3,1)
• E) None of the above.

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Definitions:

Academic Problems

Issues or challenges faced by students in their educational journey, which can impact learning and academic performance.

Lack Integrity

Refers to the absence of honesty and moral principles in an individual or entity.

Missing Details

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Clarify Expectations

The process of making sure all parties involved understand the requirements, goals, and responsibilities in a certain context.