Two bullet roulette: Difference between revisions
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The following is supposedly a question given to mathematics graduates seeking jobs on Wall Street: |
The following is supposedly a question given to mathematics graduates seeking jobs on Wall Street: |
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<blockquote> |
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A revolver handgun has a revolving cylinder with six chambers for bullets. |
A revolver handgun has a revolving cylinder with six chambers for bullets. |
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It is loaded with the following procedure: |
It is loaded with the following procedure: |
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1. Check the first chamber to the right of the trigger for a bullet. If a bullet |
1. Check the first chamber to the right of the trigger for a bullet. If a bullet |
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is seen, the cylinder is rotated one chamber clockwise and the next chamber |
is seen, the cylinder is rotated one chamber clockwise and the next chamber |
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checked until an empty chamber is found. |
checked until an empty chamber is found. |
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2. A cartridge containing a bullet is placed in the empty chamber. |
2. A cartridge containing a bullet is placed in the empty chamber. |
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3. The cylinder is then rotated one chamber clockwise. |
3. The cylinder is then rotated one chamber clockwise. |
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A. Spinning the cylinder after loading the first bullet, and spinning again after the first shot. |
A. Spinning the cylinder after loading the first bullet, and spinning again after the first shot. |
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B. Spinning the cylinder after loading the first bullet only. |
B. Spinning the cylinder after loading the first bullet only. |
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C. Spinning the cylinder after firing the first shot only. |
C. Spinning the cylinder after firing the first shot only. |
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D. Not spinning the cylinder either after loading the first bullet or after the first shot. |
D. Not spinning the cylinder either after loading the first bullet or after the first shot. |
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</blockquote> |
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;Task: |
;Task: |
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# Run a repeated simulation of each of the above scenario, calculating the percentage of suicide with a randomization of the four spinning, loading and firing order scenarios. |
# Run a repeated simulation of each of the above scenario, calculating the percentage of suicide with a randomization of the four spinning, loading and firing order scenarios. |