\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2015e.00826}
\itemau{Cholkar, C. P.; Deshpande, M. N.}
\itemti{A coin tossing game between two players.}
\itemso{Math. Sch. (Leicester) 44, No. 3, 32 (2015).}
\itemab
The article discusses some mathematically interesting aspects of the following two-player coin-tossing game. An unbiased coin is tossed sequentially at the most five times. The results of the tosses are written in an array of heads (denoted by $\mathrm{H}$) and tails (denoted by $\mathrm{T}$). If there are three successive heads the game ends with the result $A$ wins. If there are three successive tails the game ends with the result $B$ wins. If none of the above two events occurs the game ends in a draw. When the result of the game is clear further tosses are not made. For example, if the results of the first four tosses are $\mathrm{THHH}$, the fifth toss is not made. If $\mathrm{TTHHT}$ occurs the game ends in a draw.
\itemrv{Peter D\"urr (Linkenheim)}
\itemcc{K50 M40}
\itemut{games of chance; coin tossing; stochastics; probability; conditional probabilities; sample space}
\itemli{}
\end