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Lets play with coins

  1. Jan 8, 2016 #1
    Mod note: Thread moved from technical math section, so homework template does not appear.
    A fair coin is tossed 'n' times. Let a(n) denote the number of cases in which no two heads occur consecutively, then what is the value of a(16)?????:woot:
     
    Last edited by a moderator: Jan 9, 2016
  2. jcsd
  3. Jan 8, 2016 #2

    berkeman

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    What do you think it is? What are the Relevant Equations? Is this a question from your schoolwork?
     
  4. Jan 8, 2016 #3
    No........But it involves a good trick (i think) instead of simply rather foolishly counting........:-p
     
  5. Jan 8, 2016 #4

    phinds

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    Are you saying that you already know the answer?
     
  6. Jan 8, 2016 #5

    jbriggs444

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    Doing it with a recurrence turns out very nicely.
     
  7. Jan 8, 2016 #6

    micromass

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    Markov Chains also work pretty nicely.
     
  8. Jan 9, 2016 #7
    yes my boy
     
  9. Jan 9, 2016 #8

    mfb

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    So what is the point of this thread?

    ~4% probability.
     
  10. Jan 9, 2016 #9

    phinds

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    My point exactly.
    I do not appreciate the smarmy answer and if you know the solution then I agree with mfb. What's the point of this thread?
     
  11. Jan 9, 2016 #10

    Vanadium 50

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    Thus far the point has been "I know something you don't, nyah nyah nyah!" I certainly hope there is more to it soon.
     
  12. Jan 9, 2016 #11

    phinds

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    You don't really expect for there to be do you? I think you've already nailed it.
     
  13. Jan 9, 2016 #12
    Mod note: Edited post to remove insulting and condescending contents.
    I know the 'ANSWER' but i don't know the 'SOLUTION'...:cool:....and i do hope for a very good method to get it.......:wink:...
     
    Last edited by a moderator: Jan 9, 2016
  14. Jan 9, 2016 #13

    micromass

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    OK, then this should be treated as any homework problem. So what have you tried?
     
  15. Jan 9, 2016 #14

    Mark44

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    Nor do I. The OP has earned an infraction for this.
     
  16. Jan 9, 2016 #15
    so
    sorry sir:bow:
     
  17. Jan 9, 2016 #16

    DrClaude

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    This is going nowhere. Thread closed.
     
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