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Finite Math Examples
Step-by-Step Examples
Finite Math
Probability
Find P(A∪B) for Mutually Exclusive Events A and B
P
(
A
)
=
0.07
P
(
A
)
=
0.07
,
P
(
B
)
=
0.3
P
(
B
)
=
0.3
Step 1
When
A
A
and
B
B
are
mutually exclusive events
, the
probability
of
A
A
or
B
B
occurring is
P
(
A
∪
B
)
=
P
(
B
∪
A
)
=
P
(
A
)
+
P
(
B
)
P
(
A
∪
B
)
=
P
(
B
∪
A
)
=
P
(
A
)
+
P
(
B
)
, which is called the
addition
rule for
mutually exclusive events
A
A
and
B
B
.
P
(
A
∪
B
)
=
P
(
B
∪
A
)
=
P
(
A
)
+
P
(
B
)
P
(
A
∪
B
)
=
P
(
B
∪
A
)
=
P
(
A
)
+
P
(
B
)
Step 2
Fill in the known values.
P
(
A
∪
B
)
=
P
(
B
∪
A
)
=
0.07
+
0.3
P
(
A
∪
B
)
=
P
(
B
∪
A
)
=
0.07
+
0.3
Step 3
Add
0.07
0.07
and
0.3
0.3
.
P
(
A
∪
B
)
=
P
(
B
∪
A
)
=
0.37
P
(
A
∪
B
)
=
P
(
B
∪
A
)
=
0.37
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⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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