December 9th, 2009, 04:18 PM #1 Newbie   Joined: Dec 2009 Posts: 9 Thanks: 0 expectation and Dice Probability Problem Here is another question that I have been stuck on. Suppose we roll 6 fair dice, and let X be the maximum number we roll. Compute E(x). So we have to find the expected maximum value. December 9th, 2009, 05:12 PM #2 Senior Member   Joined: Dec 2009 From: Las Vegas Posts: 209 Thanks: 0 Re: expectation and Dice Probability Problem Hi; Could you clarify your question for me? For instance I throw these six die 1,5,5,6,2,4 the maximum value is 6 or the sum is 23, which do you want the expected value of. Thanks! December 9th, 2009, 05:37 PM #3 Newbie   Joined: Dec 2009 Posts: 9 Thanks: 0 Re: expectation and Dice Probability Problem The maximum number was 6. We want to find the expected max if you throw 6 dice. I think I might have figured it out. I got Expected Max= (1-(5/6)^6)+(1-(4/6)^6)+...+(1-(1/6)^6) December 9th, 2009, 07:31 PM #4 Member   Joined: Oct 2009 Posts: 64 Thanks: 0 Re: expectation and Dice Probability Problem you are missing a term of (1-(0/6)^6) in the sum. December 9th, 2009, 11:01 PM #5 Newbie   Joined: Dec 2009 Posts: 9 Thanks: 0 Re: expectation and Dice Probability Problem you right, thank you for the help. December 19th, 2009, 01:53 PM #6 Newbie   Joined: Dec 2009 Posts: 1 Thanks: 0 Re: expectation and Dice Probability Problem Helo everyone, I am new here. Is this answer really correct? December 19th, 2009, 03:20 PM #7 Senior Member   Joined: Dec 2009 From: Las Vegas Posts: 209 Thanks: 0 Re: expectation and Dice Probability Problem Hi; Expected Max= (1-(5/6)^6)+(1-(4/6)^6)+...+(1-(0/6)^6) = 259421 / 46656 This is correct, I have verified by actually counting the max of all 6^6 ways you can throw 6 die by computer. The answer I got was the same. Tags dice, expectation, probability, problem 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 helloprajna Math Books 0 November 18th, 2012 09:50 PM restin84 Advanced Statistics 0 February 28th, 2012 07:56 PM schezleng Probability and Statistics 7 August 5th, 2011 06:56 PM Brimstone Algebra 10 May 30th, 2008 07:36 PM AdamL Algebra 1 April 2nd, 2008 07:36 AM

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