The Following Is Called the Chaos Game

question 21

Short Answer

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 .

What would be the resulting coordinates of P3 if the sequence of (4,1,4) was rolled?

Understand the concept of liquidity and its significance for organizational sustainability.

Comprehend the principles and goals of budgeting within organizations, focusing on the balance between current needs and future growth.

Grasp the accrual basis of accounting and its impact on financial reporting and management.

Analyze financial health through liquidity, profitability, asset management, and long-term solvency assessments.

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Definitions:

Stock Dividend

A distribution of additional shares of a company's stock to its shareholders, usually in lieu of cash dividends.

Cash Dividends

Direct payments of profit made to shareholders, proportionate to the number of shares they own.

Treasury Stock

Shares that were first put into circulation by a company and then taken back, diminishing the quantity of shares actively traded on the market.

Small Stock Dividend

A dividend paid in the form of additional shares of the issuing corporation, typically representing less than a 25% increase of the outstanding shares.