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Mathematics
Mathematics
Problem
T
T
T
and
M
M
M
are events such that
n
(
U
)
=
30
n(U) = 30
n
(
U
)
=
30
,
n
(
T
)
=
10
n(T) = 10
n
(
T
)
=
10
,
n
(
M
)
=
17
n(M) = 17
n
(
M
)
=
17
, and
n
(
(
T
∪
M
)
′
)
=
5
n((T \cup M)' ) = 5
n
((
T
∪
M
)
′
)
=
5
. a. Draw a Venn diagram to display this information. b. Hence find: - i**
P
(
T
∩
M
)
P(T \cap M)
P
(
T
∩
M
)
- ii**
P
(
(
T
∩
M
)
∣
M
)
P((T \cap M) | M)
P
((
T
∩
M
)
∣
M
)
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