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 August 14th, 2018, 09:43 AM #1 Newbie   Joined: Aug 2018 From: United States Posts: 3 Thanks: 0 Probability Interview Question Toss a coin until the nth Head turns up. Let Y = number of required tosses, calculate P(Y is even), set p=P(H), q=P(T). Last edited by skipjack; August 14th, 2018 at 11:05 AM. August 14th, 2018, 01:53 PM #2 Global Moderator   Joined: May 2007 Posts: 6,807 Thanks: 717 $P(Y=n)=q^{n-1}p$. Therefore $P(Y\ is\ even)=p\sum_{k=1}^{\infty}q^{2k-1}=\frac{pq}{1-q^2}=\frac{q}{1+q}$ Thanks from AAA Last edited by mathman; August 15th, 2018 at 04:22 PM. Reason: add material Tags interview, probability, question, statistics or probability Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post ameliaaa Career Guidance 5 November 9th, 2016 09:19 PM Telpjmal New Users 5 May 22nd, 2012 12:22 PM daigo Algebra 2 February 17th, 2012 09:25 AM

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