Finding Conditional Probability in Models
Statistics and Probability · Flashcards · Application
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
A bag has
10
10
10
red and
6
6
6
blue marbles;
4
4
4
red are large and
3
3
3
blue are large. Find
P
(
red
∣
large
)
P(\text{red}\mid \text{large})
P
(
red
∣
large
)
.
QUESTION
Find and correct the error:
P
(
A
∣
B
)
=
P
(
A
)
P
(
B
)
P(A\mid B)=\frac{P(A)}{P(B)}
P
(
A
∣
B
)
=
P
(
B
)
P
(
A
)
.
QUESTION
Find
P
(
A
∣
B
)
P(A\mid B)
P
(
A
∣
B
)
if
∣
A
∩
B
∣
=
18
|A\cap B|=18
∣
A
∩
B
∣
=
18
and
∣
B
∣
=
60
|B|=60
∣
B
∣
=
60
in an equally likely model.
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ANSWER
0.30
0.30
0.30
. Divide favorable count by total in
B
B
B
:
18
60
=
0.30
\frac{18}{60}=0.30
60
18
=
0.30
.
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