Mock AIME 2 2010 Problems/Problem 3: Difference between revisions
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==Problem== | ==Problem== | ||
Five gunmen are shooting each other. At the same moment, each randomly chooses one of the other four to shoot. The probability that there are some two people shooting each other can be expressed in the form <math>\frac{a}{b}</math>, where <math>a, b</math> are relatively prime positive integers. Find <math>a+b</math>. | Five gunmen are shooting each other. At the same moment, each randomly chooses one of the other four to shoot. The probability that there are some two people shooting each other can be expressed in the form <math>\frac{a}{b}</math>, where <math>a, b</math> are relatively prime positive integers. Find <math>a+b</math>. | ||
Latest revision as of 14:18, 31 December 2023
Problem
Five gunmen are shooting each other. At the same moment, each randomly chooses one of the other four to shoot. The probability that there are some two people shooting each other can be expressed in the form 
, where 
are relatively prime positive integers. Find 
.
