Independent Events and Unions of Events
AP Statistics · Flashcards · Application
AP STATISTICS · FLASHCARDS
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QUESTION
Are events
A
A
A
and
B
B
B
independent if
P
(
A
)
=
0.3
P(A) = 0.3
P
(
A
)
=
0.3
,
P
(
B
)
=
0.4
P(B) = 0.4
P
(
B
)
=
0.4
,
P
(
A
and
B
)
=
0.12
P(A \text{ and } B) = 0.12
P
(
A
and
B
)
=
0.12
?
QUESTION
If
P
(
A
)
=
0.3
P(A) = 0.3
P
(
A
)
=
0.3
and
P
(
B
)
=
0.5
P(B) = 0.5
P
(
B
)
=
0.5
, find
P
(
A
and
B
c
)
P(A \text{ and } B^c)
P
(
A
and
B
c
)
if independent.
QUESTION
If
P
(
A
)
=
0.2
P(A) = 0.2
P
(
A
)
=
0.2
and
P
(
B
)
=
0.4
P(B) = 0.4
P
(
B
)
=
0.4
, calculate
P
(
A
and
B
)
P(A \text{ and } B)
P
(
A
and
B
)
for independent events.
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ANSWER
P
(
A
and
B
)
=
0.2
×
0.4
=
0.08
P(A \text{ and } B) = 0.2 \times 0.4 = 0.08
P
(
A
and
B
)
=
0.2
×
0.4
=
0.08
. Multiply the individual probabilities for independence.
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