Applying the Multiplication Rule for Probability
Statistics and Probability · Flashcards
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
What is
P
(
A
∩
B
)
P(A \cap B)
P
(
A
∩
B
)
if
P
(
B
)
=
0.20
P(B)=0.20
P
(
B
)
=
0.20
and
P
(
A
∣
B
)
=
0.50
P(A\mid B)=0.50
P
(
A
∣
B
)
=
0.50
?
QUESTION
Which expression equals the probability that both events occur:
P
(
A
and
B
)
P(A \text{ and } B)
P
(
A
and
B
)
?
QUESTION
In a uniform model with
#
(
S
)
=
50
\#(S)=50
#
(
S
)
=
50
,
#
(
A
)
=
20
\#(A)=20
#
(
A
)
=
20
,
#
(
A
∩
B
)
=
5
\#(A \cap B)=5
#
(
A
∩
B
)
=
5
, find
P
(
A
∩
B
)
P(A \cap B)
P
(
A
∩
B
)
.
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ANSWER
1
10
\frac{1}{10}
10
1
. Count favorable outcomes over total:
5
50
=
1
10
\frac{5}{50} = \frac{1}{10}
50
5
=
10
1
.
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