All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Coin tossing (Posted on 2004-06-11)
I threw a coin n times, and never got three tails in a row. I calculated the odds of this event, and found out they were just about even; 50%-50%. How many times did I throw the coin?

A second question: what were the chances of having not gotten three heads in a row either?

 See The Solution Submitted by Federico Kereki Rating: 3.6667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Exhaustion--1st and 2nd questions | Comment 14 of 25 |
(In reply to re(3): Markov chain solution - 2nd part by Charlie)

Here are all the possibilities for 10 coin tosses, annotated with whether three heads and/or three tails appear in a row in the sequence:

`HHHHHHHHHH HHH HHHHHHHHHT HHH HHHHHHHHTH HHH HHHHHHHHTT HHH HHHHHHHTHH HHH HHHHHHHTHT HHH HHHHHHHTTH HHH HHHHHHHTTT TTT HHH HHHHHHTHHH HHH HHHHHHTHHT HHH HHHHHHTHTH HHH HHHHHHTHTT HHH HHHHHHTTHH HHH HHHHHHTTHT HHH HHHHHHTTTH TTT HHH HHHHHHTTTT TTT HHH HHHHHTHHHH HHH HHHHHTHHHT HHH HHHHHTHHTH HHH HHHHHTHHTT HHH HHHHHTHTHH HHH HHHHHTHTHT HHH HHHHHTHTTH HHH HHHHHTHTTT TTT HHH HHHHHTTHHH HHH HHHHHTTHHT HHH HHHHHTTHTH HHH HHHHHTTHTT HHH HHHHHTTTHH TTT HHH HHHHHTTTHT TTT HHH HHHHHTTTTH TTT HHH HHHHHTTTTT TTT HHH HHHHTHHHHH HHH HHHHTHHHHT HHH HHHHTHHHTH HHH HHHHTHHHTT HHH HHHHTHHTHH HHH HHHHTHHTHT HHH HHHHTHHTTH HHH HHHHTHHTTT TTT HHH HHHHTHTHHH HHH HHHHTHTHHT HHH HHHHTHTHTH HHH HHHHTHTHTT HHH HHHHTHTTHH HHH HHHHTHTTHT HHH HHHHTHTTTH TTT HHH HHHHTHTTTT TTT HHH HHHHTTHHHH HHH HHHHTTHHHT HHH HHHHTTHHTH HHH HHHHTTHHTT HHH HHHHTTHTHH HHH HHHHTTHTHT HHH HHHHTTHTTH HHH HHHHTTHTTT TTT HHH HHHHTTTHHH TTT HHH HHHHTTTHHT TTT HHH HHHHTTTHTH TTT HHH HHHHTTTHTT TTT HHH HHHHTTTTHH TTT HHH HHHHTTTTHT TTT HHH HHHHTTTTTH TTT HHH HHHHTTTTTT TTT HHH HHHTHHHHHH HHH HHHTHHHHHT HHH HHHTHHHHTH HHH HHHTHHHHTT HHH HHHTHHHTHH HHH HHHTHHHTHT HHH HHHTHHHTTH HHH HHHTHHHTTT TTT HHH HHHTHHTHHH HHH HHHTHHTHHT HHH HHHTHHTHTH HHH HHHTHHTHTT HHH HHHTHHTTHH HHH HHHTHHTTHT HHH HHHTHHTTTH TTT HHH HHHTHHTTTT TTT HHH HHHTHTHHHH HHH HHHTHTHHHT HHH HHHTHTHHTH HHH HHHTHTHHTT HHH HHHTHTHTHH HHH HHHTHTHTHT HHH HHHTHTHTTH HHH HHHTHTHTTT TTT HHH HHHTHTTHHH HHH HHHTHTTHHT HHH HHHTHTTHTH HHH HHHTHTTHTT HHH HHHTHTTTHH TTT HHH HHHTHTTTHT TTT HHH HHHTHTTTTH TTT HHH HHHTHTTTTT TTT HHH HHHTTHHHHH HHH HHHTTHHHHT HHH HHHTTHHHTH HHH HHHTTHHHTT HHH HHHTTHHTHH HHH HHHTTHHTHT HHH HHHTTHHTTH HHH HHHTTHHTTT TTT HHH HHHTTHTHHH HHH HHHTTHTHHT HHH HHHTTHTHTH HHH HHHTTHTHTT HHH HHHTTHTTHH HHH HHHTTHTTHT HHH HHHTTHTTTH TTT HHH HHHTTHTTTT TTT HHH HHHTTTHHHH TTT HHH HHHTTTHHHT TTT HHH HHHTTTHHTH TTT HHH HHHTTTHHTT TTT HHH HHHTTTHTHH TTT HHH HHHTTTHTHT TTT HHH HHHTTTHTTH TTT HHH HHHTTTHTTT TTT HHH HHHTTTTHHH TTT HHH HHHTTTTHHT TTT HHH HHHTTTTHTH TTT HHH HHHTTTTHTT TTT HHH HHHTTTTTHH TTT HHH HHHTTTTTHT TTT HHH HHHTTTTTTH TTT HHH HHHTTTTTTT TTT HHH HHTHHHHHHH HHH HHTHHHHHHT HHH HHTHHHHHTH HHH HHTHHHHHTT HHH HHTHHHHTHH HHH HHTHHHHTHT HHH HHTHHHHTTH HHH HHTHHHHTTT TTT HHH HHTHHHTHHH HHH HHTHHHTHHT HHH HHTHHHTHTH HHH HHTHHHTHTT HHH HHTHHHTTHH HHH HHTHHHTTHT HHH HHTHHHTTTH TTT HHH HHTHHHTTTT TTT HHH HHTHHTHHHH HHH HHTHHTHHHT HHH HHTHHTHHTH HHTHHTHHTT HHTHHTHTHH HHTHHTHTHT HHTHHTHTTH HHTHHTHTTT TTT HHTHHTTHHH HHH HHTHHTTHHT HHTHHTTHTH HHTHHTTHTT HHTHHTTTHH TTT HHTHHTTTHT TTT HHTHHTTTTH TTT HHTHHTTTTT TTT HHTHTHHHHH HHH HHTHTHHHHT HHH HHTHTHHHTH HHH HHTHTHHHTT HHH HHTHTHHTHH HHTHTHHTHT HHTHTHHTTH HHTHTHHTTT TTT HHTHTHTHHH HHH HHTHTHTHHT HHTHTHTHTH HHTHTHTHTT HHTHTHTTHH HHTHTHTTHT HHTHTHTTTH TTT HHTHTHTTTT TTT HHTHTTHHHH HHH HHTHTTHHHT HHH HHTHTTHHTH HHTHTTHHTT HHTHTTHTHH HHTHTTHTHT HHTHTTHTTH HHTHTTHTTT TTT HHTHTTTHHH TTT HHH HHTHTTTHHT TTT HHTHTTTHTH TTT HHTHTTTHTT TTT HHTHTTTTHH TTT HHTHTTTTHT TTT HHTHTTTTTH TTT HHTHTTTTTT TTT HHTTHHHHHH HHH HHTTHHHHHT HHH HHTTHHHHTH HHH HHTTHHHHTT HHH HHTTHHHTHH HHH HHTTHHHTHT HHH HHTTHHHTTH HHH HHTTHHHTTT TTT HHH HHTTHHTHHH HHH HHTTHHTHHT HHTTHHTHTH HHTTHHTHTT HHTTHHTTHH HHTTHHTTHT HHTTHHTTTH TTT HHTTHHTTTT TTT HHTTHTHHHH HHH HHTTHTHHHT HHH HHTTHTHHTH HHTTHTHHTT HHTTHTHTHH HHTTHTHTHT HHTTHTHTTH HHTTHTHTTT TTT HHTTHTTHHH HHH HHTTHTTHHT HHTTHTTHTH HHTTHTTHTT HHTTHTTTHH TTT HHTTHTTTHT TTT HHTTHTTTTH TTT HHTTHTTTTT TTT HHTTTHHHHH TTT HHH HHTTTHHHHT TTT HHH HHTTTHHHTH TTT HHH HHTTTHHHTT TTT HHH HHTTTHHTHH TTT HHTTTHHTHT TTT HHTTTHHTTH TTT HHTTTHHTTT TTT HHTTTHTHHH TTT HHH HHTTTHTHHT TTT HHTTTHTHTH TTT HHTTTHTHTT TTT HHTTTHTTHH TTT HHTTTHTTHT TTT HHTTTHTTTH TTT HHTTTHTTTT TTT HHTTTTHHHH TTT HHH HHTTTTHHHT TTT HHH HHTTTTHHTH TTT HHTTTTHHTT TTT HHTTTTHTHH TTT HHTTTTHTHT TTT HHTTTTHTTH TTT HHTTTTHTTT TTT HHTTTTTHHH TTT HHH HHTTTTTHHT TTT HHTTTTTHTH TTT HHTTTTTHTT TTT HHTTTTTTHH TTT HHTTTTTTHT TTT HHTTTTTTTH TTT HHTTTTTTTT TTT HTHHHHHHHH HHH HTHHHHHHHT HHH HTHHHHHHTH HHH HTHHHHHHTT HHH HTHHHHHTHH HHH HTHHHHHTHT HHH HTHHHHHTTH HHH HTHHHHHTTT TTT HHH HTHHHHTHHH HHH HTHHHHTHHT HHH HTHHHHTHTH HHH HTHHHHTHTT HHH HTHHHHTTHH HHH HTHHHHTTHT HHH HTHHHHTTTH TTT HHH HTHHHHTTTT TTT HHH HTHHHTHHHH HHH HTHHHTHHHT HHH HTHHHTHHTH HHH HTHHHTHHTT HHH HTHHHTHTHH HHH HTHHHTHTHT HHH HTHHHTHTTH HHH HTHHHTHTTT TTT HHH HTHHHTTHHH HHH HTHHHTTHHT HHH HTHHHTTHTH HHH HTHHHTTHTT HHH HTHHHTTTHH TTT HHH HTHHHTTTHT TTT HHH HTHHHTTTTH TTT HHH HTHHHTTTTT TTT HHH HTHHTHHHHH HHH HTHHTHHHHT HHH HTHHTHHHTH HHH HTHHTHHHTT HHH HTHHTHHTHH HTHHTHHTHT HTHHTHHTTH HTHHTHHTTT TTT HTHHTHTHHH HHH HTHHTHTHHT HTHHTHTHTH HTHHTHTHTT HTHHTHTTHH HTHHTHTTHT HTHHTHTTTH TTT HTHHTHTTTT TTT HTHHTTHHHH HHH HTHHTTHHHT HHH HTHHTTHHTH HTHHTTHHTT HTHHTTHTHH HTHHTTHTHT HTHHTTHTTH HTHHTTHTTT TTT HTHHTTTHHH TTT HHH HTHHTTTHHT TTT HTHHTTTHTH TTT HTHHTTTHTT TTT HTHHTTTTHH TTT HTHHTTTTHT TTT HTHHTTTTTH TTT HTHHTTTTTT TTT HTHTHHHHHH HHH HTHTHHHHHT HHH HTHTHHHHTH HHH HTHTHHHHTT HHH HTHTHHHTHH HHH HTHTHHHTHT HHH HTHTHHHTTH HHH HTHTHHHTTT TTT HHH HTHTHHTHHH HHH HTHTHHTHHT HTHTHHTHTH HTHTHHTHTT HTHTHHTTHH HTHTHHTTHT HTHTHHTTTH TTT HTHTHHTTTT TTT HTHTHTHHHH HHH HTHTHTHHHT HHH HTHTHTHHTH HTHTHTHHTT HTHTHTHTHH HTHTHTHTHT HTHTHTHTTH HTHTHTHTTT TTT HTHTHTTHHH HHH HTHTHTTHHT HTHTHTTHTH HTHTHTTHTT HTHTHTTTHH TTT HTHTHTTTHT TTT HTHTHTTTTH TTT HTHTHTTTTT TTT HTHTTHHHHH HHH HTHTTHHHHT HHH HTHTTHHHTH HHH HTHTTHHHTT HHH HTHTTHHTHH HTHTTHHTHT HTHTTHHTTH HTHTTHHTTT TTT HTHTTHTHHH HHH HTHTTHTHHT HTHTTHTHTH HTHTTHTHTT HTHTTHTTHH HTHTTHTTHT HTHTTHTTTH TTT HTHTTHTTTT TTT HTHTTTHHHH TTT HHH HTHTTTHHHT TTT HHH HTHTTTHHTH TTT HTHTTTHHTT TTT HTHTTTHTHH TTT HTHTTTHTHT TTT HTHTTTHTTH TTT HTHTTTHTTT TTT HTHTTTTHHH TTT HHH HTHTTTTHHT TTT HTHTTTTHTH TTT HTHTTTTHTT TTT HTHTTTTTHH TTT HTHTTTTTHT TTT HTHTTTTTTH TTT HTHTTTTTTT TTT HTTHHHHHHH HHH HTTHHHHHHT HHH HTTHHHHHTH HHH HTTHHHHHTT HHH HTTHHHHTHH HHH HTTHHHHTHT HHH HTTHHHHTTH HHH HTTHHHHTTT TTT HHH HTTHHHTHHH HHH HTTHHHTHHT HHH HTTHHHTHTH HHH HTTHHHTHTT HHH HTTHHHTTHH HHH HTTHHHTTHT HHH HTTHHHTTTH TTT HHH HTTHHHTTTT TTT HHH HTTHHTHHHH HHH HTTHHTHHHT HHH HTTHHTHHTH HTTHHTHHTT HTTHHTHTHH HTTHHTHTHT HTTHHTHTTH HTTHHTHTTT TTT HTTHHTTHHH HHH HTTHHTTHHT HTTHHTTHTH HTTHHTTHTT HTTHHTTTHH TTT HTTHHTTTHT TTT HTTHHTTTTH TTT HTTHHTTTTT TTT HTTHTHHHHH HHH HTTHTHHHHT HHH HTTHTHHHTH HHH HTTHTHHHTT HHH HTTHTHHTHH HTTHTHHTHT HTTHTHHTTH HTTHTHHTTT TTT HTTHTHTHHH HHH HTTHTHTHHT HTTHTHTHTH HTTHTHTHTT HTTHTHTTHH HTTHTHTTHT HTTHTHTTTH TTT HTTHTHTTTT TTT HTTHTTHHHH HHH HTTHTTHHHT HHH HTTHTTHHTH HTTHTTHHTT HTTHTTHTHH HTTHTTHTHT HTTHTTHTTH HTTHTTHTTT TTT HTTHTTTHHH TTT HHH HTTHTTTHHT TTT HTTHTTTHTH TTT HTTHTTTHTT TTT HTTHTTTTHH TTT HTTHTTTTHT TTT HTTHTTTTTH TTT HTTHTTTTTT TTT HTTTHHHHHH TTT HHH HTTTHHHHHT TTT HHH HTTTHHHHTH TTT HHH HTTTHHHHTT TTT HHH HTTTHHHTHH TTT HHH HTTTHHHTHT TTT HHH HTTTHHHTTH TTT HHH HTTTHHHTTT TTT HHH HTTTHHTHHH TTT HHH HTTTHHTHHT TTT HTTTHHTHTH TTT HTTTHHTHTT TTT HTTTHHTTHH TTT HTTTHHTTHT TTT HTTTHHTTTH TTT HTTTHHTTTT TTT HTTTHTHHHH TTT HHH HTTTHTHHHT TTT HHH HTTTHTHHTH TTT HTTTHTHHTT TTT HTTTHTHTHH TTT HTTTHTHTHT TTT HTTTHTHTTH TTT HTTTHTHTTT TTT HTTTHTTHHH TTT HHH HTTTHTTHHT TTT HTTTHTTHTH TTT HTTTHTTHTT TTT HTTTHTTTHH TTT HTTTHTTTHT TTT HTTTHTTTTH TTT HTTTHTTTTT TTT HTTTTHHHHH TTT HHH HTTTTHHHHT TTT HHH HTTTTHHHTH TTT HHH HTTTTHHHTT TTT HHH HTTTTHHTHH TTT HTTTTHHTHT TTT HTTTTHHTTH TTT HTTTTHHTTT TTT HTTTTHTHHH TTT HHH HTTTTHTHHT TTT HTTTTHTHTH TTT HTTTTHTHTT TTT HTTTTHTTHH TTT HTTTTHTTHT TTT HTTTTHTTTH TTT HTTTTHTTTT TTT HTTTTTHHHH TTT HHH HTTTTTHHHT TTT HHH HTTTTTHHTH TTT HTTTTTHHTT TTT HTTTTTHTHH TTT HTTTTTHTHT TTT HTTTTTHTTH TTT HTTTTTHTTT TTT HTTTTTTHHH TTT HHH HTTTTTTHHT TTT HTTTTTTHTH TTT HTTTTTTHTT TTT HTTTTTTTHH TTT HTTTTTTTHT TTT HTTTTTTTTH TTT HTTTTTTTTT TTT THHHHHHHHH HHH THHHHHHHHT HHH THHHHHHHTH HHH THHHHHHHTT HHH THHHHHHTHH HHH THHHHHHTHT HHH THHHHHHTTH HHH THHHHHHTTT TTT HHH THHHHHTHHH HHH THHHHHTHHT HHH THHHHHTHTH HHH THHHHHTHTT HHH THHHHHTTHH HHH THHHHHTTHT HHH THHHHHTTTH TTT HHH THHHHHTTTT TTT HHH THHHHTHHHH HHH THHHHTHHHT HHH THHHHTHHTH HHH THHHHTHHTT HHH THHHHTHTHH HHH THHHHTHTHT HHH THHHHTHTTH HHH THHHHTHTTT TTT HHH THHHHTTHHH HHH THHHHTTHHT HHH THHHHTTHTH HHH THHHHTTHTT HHH THHHHTTTHH TTT HHH THHHHTTTHT TTT HHH THHHHTTTTH TTT HHH THHHHTTTTT TTT HHH THHHTHHHHH HHH THHHTHHHHT HHH THHHTHHHTH HHH THHHTHHHTT HHH THHHTHHTHH HHH THHHTHHTHT HHH THHHTHHTTH HHH THHHTHHTTT TTT HHH THHHTHTHHH HHH THHHTHTHHT HHH THHHTHTHTH HHH THHHTHTHTT HHH THHHTHTTHH HHH THHHTHTTHT HHH THHHTHTTTH TTT HHH THHHTHTTTT TTT HHH THHHTTHHHH HHH THHHTTHHHT HHH THHHTTHHTH HHH THHHTTHHTT HHH THHHTTHTHH HHH THHHTTHTHT HHH THHHTTHTTH HHH THHHTTHTTT TTT HHH THHHTTTHHH TTT HHH THHHTTTHHT TTT HHH THHHTTTHTH TTT HHH THHHTTTHTT TTT HHH THHHTTTTHH TTT HHH THHHTTTTHT TTT HHH THHHTTTTTH TTT HHH THHHTTTTTT TTT HHH THHTHHHHHH HHH THHTHHHHHT HHH THHTHHHHTH HHH THHTHHHHTT HHH THHTHHHTHH HHH THHTHHHTHT HHH THHTHHHTTH HHH THHTHHHTTT TTT HHH THHTHHTHHH HHH THHTHHTHHT THHTHHTHTH THHTHHTHTT THHTHHTTHH THHTHHTTHT THHTHHTTTH TTT THHTHHTTTT TTT THHTHTHHHH HHH THHTHTHHHT HHH THHTHTHHTH THHTHTHHTT THHTHTHTHH THHTHTHTHT THHTHTHTTH THHTHTHTTT TTT THHTHTTHHH HHH THHTHTTHHT THHTHTTHTH THHTHTTHTT THHTHTTTHH TTT THHTHTTTHT TTT THHTHTTTTH TTT THHTHTTTTT TTT THHTTHHHHH HHH THHTTHHHHT HHH THHTTHHHTH HHH THHTTHHHTT HHH THHTTHHTHH THHTTHHTHT THHTTHHTTH THHTTHHTTT TTT THHTTHTHHH HHH THHTTHTHHT THHTTHTHTH THHTTHTHTT THHTTHTTHH THHTTHTTHT THHTTHTTTH TTT THHTTHTTTT TTT THHTTTHHHH TTT HHH THHTTTHHHT TTT HHH THHTTTHHTH TTT THHTTTHHTT TTT THHTTTHTHH TTT THHTTTHTHT TTT THHTTTHTTH TTT THHTTTHTTT TTT THHTTTTHHH TTT HHH THHTTTTHHT TTT THHTTTTHTH TTT THHTTTTHTT TTT THHTTTTTHH TTT THHTTTTTHT TTT THHTTTTTTH TTT THHTTTTTTT TTT THTHHHHHHH HHH THTHHHHHHT HHH THTHHHHHTH HHH THTHHHHHTT HHH THTHHHHTHH HHH THTHHHHTHT HHH THTHHHHTTH HHH THTHHHHTTT TTT HHH THTHHHTHHH HHH THTHHHTHHT HHH THTHHHTHTH HHH THTHHHTHTT HHH THTHHHTTHH HHH THTHHHTTHT HHH THTHHHTTTH TTT HHH THTHHHTTTT TTT HHH THTHHTHHHH HHH THTHHTHHHT HHH THTHHTHHTH THTHHTHHTT THTHHTHTHH THTHHTHTHT THTHHTHTTH THTHHTHTTT TTT THTHHTTHHH HHH THTHHTTHHT THTHHTTHTH THTHHTTHTT THTHHTTTHH TTT THTHHTTTHT TTT THTHHTTTTH TTT THTHHTTTTT TTT THTHTHHHHH HHH THTHTHHHHT HHH THTHTHHHTH HHH THTHTHHHTT HHH THTHTHHTHH THTHTHHTHT THTHTHHTTH THTHTHHTTT TTT THTHTHTHHH HHH THTHTHTHHT THTHTHTHTH THTHTHTHTT THTHTHTTHH THTHTHTTHT THTHTHTTTH TTT THTHTHTTTT TTT THTHTTHHHH HHH THTHTTHHHT HHH THTHTTHHTH THTHTTHHTT THTHTTHTHH THTHTTHTHT THTHTTHTTH THTHTTHTTT TTT THTHTTTHHH TTT HHH THTHTTTHHT TTT THTHTTTHTH TTT THTHTTTHTT TTT THTHTTTTHH TTT THTHTTTTHT TTT THTHTTTTTH TTT THTHTTTTTT TTT THTTHHHHHH HHH THTTHHHHHT HHH THTTHHHHTH HHH THTTHHHHTT HHH THTTHHHTHH HHH THTTHHHTHT HHH THTTHHHTTH HHH THTTHHHTTT TTT HHH THTTHHTHHH HHH THTTHHTHHT THTTHHTHTH THTTHHTHTT THTTHHTTHH THTTHHTTHT THTTHHTTTH TTT THTTHHTTTT TTT THTTHTHHHH HHH THTTHTHHHT HHH THTTHTHHTH THTTHTHHTT THTTHTHTHH THTTHTHTHT THTTHTHTTH THTTHTHTTT TTT THTTHTTHHH HHH THTTHTTHHT THTTHTTHTH THTTHTTHTT THTTHTTTHH TTT THTTHTTTHT TTT THTTHTTTTH TTT THTTHTTTTT TTT THTTTHHHHH TTT HHH THTTTHHHHT TTT HHH THTTTHHHTH TTT HHH THTTTHHHTT TTT HHH THTTTHHTHH TTT THTTTHHTHT TTT THTTTHHTTH TTT THTTTHHTTT TTT THTTTHTHHH TTT HHH THTTTHTHHT TTT THTTTHTHTH TTT THTTTHTHTT TTT THTTTHTTHH TTT THTTTHTTHT TTT THTTTHTTTH TTT THTTTHTTTT TTT THTTTTHHHH TTT HHH THTTTTHHHT TTT HHH THTTTTHHTH TTT THTTTTHHTT TTT THTTTTHTHH TTT THTTTTHTHT TTT THTTTTHTTH TTT THTTTTHTTT TTT THTTTTTHHH TTT HHH THTTTTTHHT TTT THTTTTTHTH TTT THTTTTTHTT TTT THTTTTTTHH TTT THTTTTTTHT TTT THTTTTTTTH TTT THTTTTTTTT TTT TTHHHHHHHH HHH TTHHHHHHHT HHH TTHHHHHHTH HHH TTHHHHHHTT HHH TTHHHHHTHH HHH TTHHHHHTHT HHH TTHHHHHTTH HHH TTHHHHHTTT TTT HHH TTHHHHTHHH HHH TTHHHHTHHT HHH TTHHHHTHTH HHH TTHHHHTHTT HHH TTHHHHTTHH HHH TTHHHHTTHT HHH TTHHHHTTTH TTT HHH TTHHHHTTTT TTT HHH TTHHHTHHHH HHH TTHHHTHHHT HHH TTHHHTHHTH HHH TTHHHTHHTT HHH TTHHHTHTHH HHH TTHHHTHTHT HHH TTHHHTHTTH HHH TTHHHTHTTT TTT HHH TTHHHTTHHH HHH TTHHHTTHHT HHH TTHHHTTHTH HHH TTHHHTTHTT HHH TTHHHTTTHH TTT HHH TTHHHTTTHT TTT HHH TTHHHTTTTH TTT HHH TTHHHTTTTT TTT HHH TTHHTHHHHH HHH TTHHTHHHHT HHH TTHHTHHHTH HHH TTHHTHHHTT HHH TTHHTHHTHH TTHHTHHTHT TTHHTHHTTH TTHHTHHTTT TTT TTHHTHTHHH HHH TTHHTHTHHT TTHHTHTHTH TTHHTHTHTT TTHHTHTTHH TTHHTHTTHT TTHHTHTTTH TTT TTHHTHTTTT TTT TTHHTTHHHH HHH TTHHTTHHHT HHH TTHHTTHHTH TTHHTTHHTT TTHHTTHTHH TTHHTTHTHT TTHHTTHTTH TTHHTTHTTT TTT TTHHTTTHHH TTT HHH TTHHTTTHHT TTT TTHHTTTHTH TTT TTHHTTTHTT TTT TTHHTTTTHH TTT TTHHTTTTHT TTT TTHHTTTTTH TTT TTHHTTTTTT TTT TTHTHHHHHH HHH TTHTHHHHHT HHH TTHTHHHHTH HHH TTHTHHHHTT HHH TTHTHHHTHH HHH TTHTHHHTHT HHH TTHTHHHTTH HHH TTHTHHHTTT TTT HHH TTHTHHTHHH HHH TTHTHHTHHT TTHTHHTHTH TTHTHHTHTT TTHTHHTTHH TTHTHHTTHT TTHTHHTTTH TTT TTHTHHTTTT TTT TTHTHTHHHH HHH TTHTHTHHHT HHH TTHTHTHHTH TTHTHTHHTT TTHTHTHTHH TTHTHTHTHT TTHTHTHTTH TTHTHTHTTT TTT TTHTHTTHHH HHH TTHTHTTHHT TTHTHTTHTH TTHTHTTHTT TTHTHTTTHH TTT TTHTHTTTHT TTT TTHTHTTTTH TTT TTHTHTTTTT TTT TTHTTHHHHH HHH TTHTTHHHHT HHH TTHTTHHHTH HHH TTHTTHHHTT HHH TTHTTHHTHH TTHTTHHTHT TTHTTHHTTH TTHTTHHTTT TTT TTHTTHTHHH HHH TTHTTHTHHT TTHTTHTHTH TTHTTHTHTT TTHTTHTTHH TTHTTHTTHT TTHTTHTTTH TTT TTHTTHTTTT TTT TTHTTTHHHH TTT HHH TTHTTTHHHT TTT HHH TTHTTTHHTH TTT TTHTTTHHTT TTT TTHTTTHTHH TTT TTHTTTHTHT TTT TTHTTTHTTH TTT TTHTTTHTTT TTT TTHTTTTHHH TTT HHH TTHTTTTHHT TTT TTHTTTTHTH TTT TTHTTTTHTT TTT TTHTTTTTHH TTT TTHTTTTTHT TTT TTHTTTTTTH TTT TTHTTTTTTT TTT TTTHHHHHHH TTT HHH TTTHHHHHHT TTT HHH TTTHHHHHTH TTT HHH TTTHHHHHTT TTT HHH TTTHHHHTHH TTT HHH TTTHHHHTHT TTT HHH TTTHHHHTTH TTT HHH TTTHHHHTTT TTT HHH TTTHHHTHHH TTT HHH TTTHHHTHHT TTT HHH TTTHHHTHTH TTT HHH TTTHHHTHTT TTT HHH TTTHHHTTHH TTT HHH TTTHHHTTHT TTT HHH TTTHHHTTTH TTT HHH TTTHHHTTTT TTT HHH TTTHHTHHHH TTT HHH TTTHHTHHHT TTT HHH TTTHHTHHTH TTT TTTHHTHHTT TTT TTTHHTHTHH TTT TTTHHTHTHT TTT TTTHHTHTTH TTT TTTHHTHTTT TTT TTTHHTTHHH TTT HHH TTTHHTTHHT TTT TTTHHTTHTH TTT TTTHHTTHTT TTT TTTHHTTTHH TTT TTTHHTTTHT TTT TTTHHTTTTH TTT TTTHHTTTTT TTT TTTHTHHHHH TTT HHH TTTHTHHHHT TTT HHH TTTHTHHHTH TTT HHH TTTHTHHHTT TTT HHH TTTHTHHTHH TTT TTTHTHHTHT TTT TTTHTHHTTH TTT TTTHTHHTTT TTT TTTHTHTHHH TTT HHH TTTHTHTHHT TTT TTTHTHTHTH TTT TTTHTHTHTT TTT TTTHTHTTHH TTT TTTHTHTTHT TTT TTTHTHTTTH TTT TTTHTHTTTT TTT TTTHTTHHHH TTT HHH TTTHTTHHHT TTT HHH TTTHTTHHTH TTT TTTHTTHHTT TTT TTTHTTHTHH TTT TTTHTTHTHT TTT TTTHTTHTTH TTT TTTHTTHTTT TTT TTTHTTTHHH TTT HHH TTTHTTTHHT TTT TTTHTTTHTH TTT TTTHTTTHTT TTT TTTHTTTTHH TTT TTTHTTTTHT TTT TTTHTTTTTH TTT TTTHTTTTTT TTT TTTTHHHHHH TTT HHH TTTTHHHHHT TTT HHH TTTTHHHHTH TTT HHH TTTTHHHHTT TTT HHH TTTTHHHTHH TTT HHH TTTTHHHTHT TTT HHH TTTTHHHTTH TTT HHH TTTTHHHTTT TTT HHH TTTTHHTHHH TTT HHH TTTTHHTHHT TTT TTTTHHTHTH TTT TTTTHHTHTT TTT TTTTHHTTHH TTT TTTTHHTTHT TTT TTTTHHTTTH TTT TTTTHHTTTT TTT TTTTHTHHHH TTT HHH TTTTHTHHHT TTT HHH TTTTHTHHTH TTT TTTTHTHHTT TTT TTTTHTHTHH TTT TTTTHTHTHT TTT TTTTHTHTTH TTT TTTTHTHTTT TTT TTTTHTTHHH TTT HHH TTTTHTTHHT TTT TTTTHTTHTH TTT TTTTHTTHTT TTT TTTTHTTTHH TTT TTTTHTTTHT TTT TTTTHTTTTH TTT TTTTHTTTTT TTT TTTTTHHHHH TTT HHH TTTTTHHHHT TTT HHH TTTTTHHHTH TTT HHH TTTTTHHHTT TTT HHH TTTTTHHTHH TTT TTTTTHHTHT TTT TTTTTHHTTH TTT TTTTTHHTTT TTT TTTTTHTHHH TTT HHH TTTTTHTHHT TTT TTTTTHTHTH TTT TTTTTHTHTT TTT TTTTTHTTHH TTT TTTTTHTTHT TTT TTTTTHTTTH TTT TTTTTHTTTT TTT TTTTTTHHHH TTT HHH TTTTTTHHHT TTT HHH TTTTTTHHTH TTT TTTTTTHHTT TTT TTTTTTHTHH TTT TTTTTTHTHT TTT TTTTTTHTTH TTT TTTTTTHTTT TTT TTTTTTTHHH TTT HHH TTTTTTTHHT TTT TTTTTTTHTH TTT TTTTTTTHTT TTT TTTTTTTTHH TTT TTTTTTTTHT TTT TTTTTTTTTH TTT TTTTTTTTTT TTT `

Statistics are:

TTT 520 ; HHH 520 ; both 194 ; neither 178

So indeed, as we agree, (1024-520)/1024 = 49.2% do not have three tails in a row.

Of the 1024-520 = 504 that do not have three tails in a row, 178 also do not have three heads in a row (they have neither). Then 178/504 = 35.3% -- not 29.6%.

 Posted by Charlie on 2004-06-13 11:25:55

 Search: Search body:
Forums (0)
Random Problem
Site Statistics
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox: