
06546571
j
2016b.00797
Tlust\'y, Pavel
About a paradoxical drawing.
Math. Compet. 28, No. 1, 2833 (2015).
2015
AMT Publishing, Australian Mathematics Trust, University of Canberra, Canberra
EN
K50
probability
random trial
conditional probability
stochastic tree
tree diagrams
generalisation
stochastic model
probability space
antinomies
recreational mathematics
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).
Peter D\"urr (Linkenheim)