Gambler’s ruin. Develop a StdRandom client to study the gamblers ruin problem (see PROGRAM 1.3.8 and Exercise 1.3.24–25). Note: Defining a static method for the experiment is more difficult than for Bernoulli because you cannot return two values.
EXERCISE 1.3.24
Write a program GamblerPlot that traces a gambler’s ruin simulation by printing a line after each bet in which one asterisk corresponds to each dollar held by the gambler.
EXERCISE 1.3.25
Modify Gambler to take an extra command-line argument that specifies the (fixed) probability that the gambler wins each bet. Use your program to try to learn how this probability affects the chance of winning and the expected number of bets. Try a value of p close to 0.5 (say, 0.48).
Program 1.3.8 Gambler’s ruin simulation
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