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May 5th, 2017, 12:52 AM  #1 
Newbie Joined: May 2017 From: Moscow Posts: 1 Thanks: 0  Shooting on a divided target
There is a target divided into 20 equal parts. The probability of falling into each of them is the same and is equal to 1/20. 15 shots are produced (we can hit one part several times). What is the probability that 8 parts will be shot through? P.s. A part is shot through when we hit on it at least one time. 
May 23rd, 2017, 01:12 AM  #2 
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 851 Thanks: 308 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics 
Let X be the number of parts that will be shot through. Then $\displaystyle X \sim Binomial(n = 15, p = 0.05)$. Can you continue?


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