My Math Forum Shooting on a divided target

 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: 853 Thanks: 311 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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