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Mathematics
Mathematics
Problem
Suppose
P
(
X
)
=
0.5
P(X) = 0.5
P
(
X
)
=
0.5
,
P
(
Y
)
=
0.7
P(Y) = 0.7
P
(
Y
)
=
0.7
, and that
X
X
X
and
Y
Y
Y
are independent events. Determine the probability of the occurrence of: a. both
X
X
X
and
Y
Y
Y
b.
X
X
X
or
Y
Y
Y
or both c. neither
X
X
X
nor
Y
Y
Y
d.
X
X
X
but not
Y
Y
Y
e.
X
X
X
given that
Y
Y
Y
occurs.
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