Academic integrity: you are on your honour not to cheat. Cheating has many victims, including the cheater and the rest of the class. Cheating absolutely will not be tolerated under any circumstances whatsoever, mainly because it is unethical and antithetical to student learning. The playing field must be level - as level as we can make it with the best ethics we can summon.
Also, please read my homework policy details (including lateness policy) VERY carefully.
Consider an ideal ("perfect") revolver with a chamber capable of
symmetrically holding m bullets. Assume that a "turn" corresponds
to (1) randomizing the chamber by spinning it like mad, (2) shooting at
one's head.
Construct a mathematical expression for the probability of surviving
only n turns at playing the game of Russian Roulette. In
particular, prove that for
m=6 (the usual revolver configuration) on average you will die
on the sixth turn.
[Hint: it may help to
think about dice.]
Explain in your OWN words the following concepts, illustrating with 1-2 examples each. Write no less than four sentences and no more than 1/3 page for each.
Consider an idealized drunk (of the pedestrian variety): restricted to walk in one dimension i.e. back or forward only. The drunk takes a step every second, and each pace is the same length. Let us observe the drunk in discrete timesteps, as they walk randomly - with equal probability - back or forward.
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