id: 06474544
dt: j
an: 2015e.00826
au: Cholkar, C. P.; Deshpande, M. N.
ti: A coin tossing game between two players.
so: Math. Sch. (Leicester) 44, No. 3, 32 (2015).
py: 2015
pu: Mathematical Association (MA), Leicester
la: EN
cc: K50 M40
ut: games of chance; coin tossing; stochastics; probability; conditional
probabilities; sample space
ci:
li:
ab: 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.
rv: Peter Dürr (Linkenheim)