Refer to the following Chaos game to answer the question(s): Start with a square ABCD in which A is located at (0, 0), B is located at 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 if we roll a 2, C is if we roll a 3, and D is 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 toward the next winning vertex.

Question

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.Determine the coordinates of the point P3 corresponding to the sequence of rolls 4, 3, 2, 1.

A. (24, 9)
B. (8, 3)
C. (27, 27)
D. (18, 27)
E. none of these

Answer 1

Answer: A