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Italy Contests
ITAMO
1986 ITAMO
3
3
Part of
1986 ITAMO
Problems
(1)
Probability
Source: Italy, 1986
7/17/2006
Two numbers are randomly selected from interval
I
=
[
0
,
1
]
I = [0, 1]
I
=
[
0
,
1
]
. Given
α
∈
I
\alpha \in I
α
∈
I
, what is the probability that the smaller of the two numbers does not exceed
α
\alpha
α
? Is the answer
(
100
α
)
(100 \alpha)
(
100
α
)
%, it just seems too easy. :|
probability
parameterization