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IMS
2007 IMS
2
2
Part of
2007 IMS
Problems
(1)
Unfair dices
Source: IMS 2007
5/18/2007
Does there exist two unfair dices such that probability of their sum being
j
j
j
be a number in
(
2
33
,
4
33
)
\left(\frac2{33},\frac4{33}\right)
(
33
2
,
33
4
)
for each
2
≤
j
≤
12
2\leq j\leq 12
2
≤
j
≤
12
?
probability
combinatorics proposed
combinatorics