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MBMT Team -- Fermat #5/Euler #2

Source:

March 29, 2015

Problem Statement

An unfair

6

-sided die has faces labeled

1

2

3

4

5

, and

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

or a

2

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