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Putnam
1961 Putnam
B2
B2
Part of
1961 Putnam
Problems
(1)
Putnam 1961 B2
Source: Putnam 1961
6/5/2022
Let
a
a
a
and
b
b
b
be given positive real numbers, with
a
<
b
.
a<b.
a
<
b
.
If two points are selected at random from a straight line segment of length
b
,
b,
b
,
what is the probability that the distance between them is at least
a
?
a?
a
?
Putnam
probability
lines