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2015 F5 E2
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MBMT Team Rounds
Problems
(1)
MBMT Team -- Fermat #5/Euler #2
Source:
3/29/2015
An unfair
6
6
6
-sided die has faces labeled
1
1
1
,
2
2
2
,
3
3
3
,
4
4
4
,
5
5
5
, and
6
6
6
. The probability that a die lands with a certain face up is proportional to the number on the face. What is the probability that at least one of the first three rolls is a
1
1
1
or a
2
2
2
?