Understanding Independent Events
Statistics and Probability · Flashcards
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
Identify whether
A
A
A
and
B
B
B
are independent if
P
(
A
)
=
1
3
P(A)=\frac{1}{3}
P
(
A
)
=
3
1
,
P
(
B
)
=
1
2
P(B)=\frac{1}{2}
P
(
B
)
=
2
1
, and
P
(
A
∩
B
)
=
1
6
P(A\cap B)=\frac{1}{6}
P
(
A
∩
B
)
=
6
1
.
QUESTION
Which statement is always true about independence: does
A
A
A
being independent of
B
B
B
imply
B
B
B
independent of
A
A
A
?
QUESTION
Identify whether
A
A
A
and
B
B
B
are independent if
P
(
A
)
=
2
5
P(A)=\frac{2}{5}
P
(
A
)
=
5
2
,
P
(
B
)
=
1
2
P(B)=\frac{1}{2}
P
(
B
)
=
2
1
, and
P
(
A
∩
B
)
=
1
5
P(A\cap B)=\frac{1}{5}
P
(
A
∩
B
)
=
5
1
.
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ANSWER
Independent. Check:
2
5
×
1
2
=
1
5
\frac{2}{5} \times \frac{1}{2} = \frac{1}{5}
5
2
×
2
1
=
5
1
, which equals
P
(
A
∩
B
)
P(A \cap B)
P
(
A
∩
B
)
.
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