Conditional Probability
AP Statistics · Flashcards · Application
AP STATISTICS · FLASHCARDS
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QUESTION
Determine
P
(
B
∣
A
)
P(B|A)
P
(
B
∣
A
)
if
P
(
A
∣
B
)
=
0.5
P(A|B)=0.5
P
(
A
∣
B
)
=
0.5
,
P
(
B
)
=
0.4
P(B)=0.4
P
(
B
)
=
0.4
,
P
(
A
)
=
0.2
P(A)=0.2
P
(
A
)
=
0.2
.
QUESTION
Identify
P
(
B
∣
A
)
P(B|A)
P
(
B
∣
A
)
if
P
(
A
∩
B
)
=
0.2
P(A \cap B) = 0.2
P
(
A
∩
B
)
=
0.2
and
P
(
A
)
=
0.4
P(A) = 0.4
P
(
A
)
=
0.4
.
QUESTION
Determine
P
(
A
∣
B
)
P(A|B)
P
(
A
∣
B
)
if
P
(
A
∩
B
)
=
0.28
P(A \cap B) = 0.28
P
(
A
∩
B
)
=
0.28
and
P
(
B
)
=
0.7
P(B) = 0.7
P
(
B
)
=
0.7
.
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ANSWER
P
(
A
∣
B
)
=
0.4
P(A|B) = 0.4
P
(
A
∣
B
)
=
0.4
. Using
P
(
A
∣
B
)
=
0.28
0.7
=
0.4
P(A|B) = \frac{0.28}{0.7} = 0.4
P
(
A
∣
B
)
=
0.7
0.28
=
0.4
.
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