Applying the Addition Rule for Probability
Statistics and Probability · Flashcards · Application
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
Find
P
(
A
and
B
)
P(A\text{ and }B)
P
(
A
and
B
)
if
P
(
A
)
=
0.55
P(A)=0.55
P
(
A
)
=
0.55
,
P
(
B
)
=
0.30
P(B)=0.30
P
(
B
)
=
0.30
, and
P
(
A
or
B
)
=
0.70
P(A\text{ or }B)=0.70
P
(
A
or
B
)
=
0.70
.
QUESTION
Find
P
(
A
or
B
)
P(A\text{ or }B)
P
(
A
or
B
)
if
P
(
A
)
=
1
4
P(A)=\frac{1}{4}
P
(
A
)
=
4
1
,
P
(
B
)
=
1
3
P(B)=\frac{1}{3}
P
(
B
)
=
3
1
, and
P
(
A
and
B
)
=
1
12
P(A\text{ and }B)=\frac{1}{12}
P
(
A
and
B
)
=
12
1
.
QUESTION
Identify the error: A student used
P
(
A
or
B
)
=
P
(
A
)
+
P
(
B
)
P(A\text{ or }B)=P(A)+P(B)
P
(
A
or
B
)
=
P
(
A
)
+
P
(
B
)
when
P
(
A
and
B
)
≠
0
P(A\text{ and }B)\neq 0
P
(
A
and
B
)
=
0
.
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ANSWER
Missing subtraction of
P
(
A
and
B
)
P(A\text{ and }B)
P
(
A
and
B
)
. Must subtract overlap when events aren't disjoint.
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