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34 lines
No EOL
1.1 KiB
Text
34 lines
No EOL
1.1 KiB
Text
#import "./common/common.typ" : *
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#show: template
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= Week 3
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== Exercise 1.3.5
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Write a program `RollLoadedDie` that prints the result of rolling
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a loaded die such that the probability of getting a $1$, $2$, $3$, $4$,
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or $5$ is $1/8$ and the probability of getting a $6$ is $3/8$.
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#embedClass(name: "RollLoadedDie")
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== Exercise 1.3.24
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Write a program `GamblerPlot` that traces a gambler's ruin simulation
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by printing a line after each bet in which one asterisk corresponds
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to each dollar held by the gambler.
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#embedClass(name: "GamblerPlot")
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== Exercise 1.3.25
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Modify `Gambler` to take an extra command-line argument that specifies
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the (fixed) probability that the gambler wins each bet. Use your program
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to try to learn how this probability affects the chance of winning and the
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expected number of bets. Try a value of $p$ close to $0.5$ (say, $0.48$).
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Small changes of probability affect win % a lot, for example the chance of
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doubling money from $100$ to $200$ is roughly 50% for $p=0.5$, but falls to
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less than 5% for $p=0.49$ and 0% below that.
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#embedClass(name: "Gambler") |