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Montgomery Blair
MBMT Guts Rounds
2015.25
MBMT Guts #25
MBMT Guts #25
Source:
March 29, 2015
Problem Statement
Three real numbers
a
a
a
,
b
b
b
, and
c
c
c
between
0
0
0
and
1
1
1
are chosen independently and at random. What is the probability that
a
+
2
b
+
3
c
>
5
a + 2b + 3c > 5
a
+
2
b
+
3
c
>
5
?
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