\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2015e.00824}
\itemau{Falk, Ruma; Lann, Avital Lavie}
\itemti{Numbers defy the law of large numbers.}
\itemso{Teach. Stat. 37, No. 2, 54-60 (2015).}
\itemab
Summary: As the number of independent tosses of a fair coin grows, the rates of heads and tails tend to equality. This is misinterpreted by many students as being true also for the absolute numbers of the two outcomes, which, conversely, depart unboundedly from each other in the process. Eradicating that misconception, as by coin-tossing experiments, should be incorporated early on into learning the law of large numbers.
\itemrv{~}
\itemcc{K50 K60 D70}
\itemut{coin tosses; in the long run; regularities; numbers versus percents; frequencies versus rates; misconceptions; law of large numbers}
\itemli{doi:10.1111/test.12031}
\end