id: 06546571
dt: j
an: 2016b.00797
au: Tlustý, Pavel
ti: About a paradoxical drawing.
so: Math. Compet. 28, No. 1, 28-33 (2015).
py: 2015
pu: AMT Publishing, Australian Mathematics Trust, University of Canberra,
Canberra
la: EN
cc: K50
ut: probability; random trial; conditional probability; stochastic tree; tree
diagrams; generalisation; stochastic model; probability space;
antinomies; recreational mathematics
ci:
li:
ab: The author discusses three different problems of drawing a black ball out
of a bag with black and white balls. For each of the three problems he
calculates the same probability, which shows a paradoxical situation.
The probability of drawing a ball (1) does not depend on the way of
drawing, that is, if we put the drawn balls back into the bag or not,
(2) is the same for all draws, and (3) does not depend on adding or
taking out balls (according to fixed rules).
rv: Peter Dürr (Linkenheim)