These questions refer to the coin-flipping game.
(a) Check the computations in the table at the end of the first paragraph.
(b) Consider the second row of the vector table. Note that this row has alternating 0's. Must p1(j) be 0 when j is odd? Prove that it must be, or produce a counterexample.
(c) Perform a computational experiment to estimate the chance that the player ends at five dollars, starting with one dollar, two dollars, and four dollars.