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Manipal Entrance Test 2020 Math Paper
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© examsnet.com
Question : 9
Total: 70
Probability of getting a total of 7 or 9 in a single throw of two dice is
5
18
1
6
1
9
None of these
Validate
Solution:
The total number of sample points in a sample space of single throw of two dice,
n
(
S
)
=
36
Let
E
1
=
Event of getting a sum 7
E
2
=
Event of getting a sum 9
∴
E
1
=
{
(
1
,
6
)
,
(
6
,
1
)
,
(
2
,
5
)
,
(
5
,
2
)
,
(
3
,
4
)
,
(
4
,
3
)
}
⇒
n
(
E
1
)
=
6
and
E
2
=
{
(
3
,
6
)
,
(
6
,
3
)
,
(
4
,
5
)
,
(
5
,
4
)
}
⇒
n
(
E
2
)
=
4
∴
P
(
E
1
)
=
n
(
E
1
)
n
(
S
)
=
6
36
=
1
6
and
P
(
E
2
)
=
n
(
E
2
)
n
(
S
)
=
4
36
=
1
9
Now,
P
(
E
1
∪
E
2
)
=
P
(
E
1
)
+
P
(
E
2
)
=
1
6
+
1
9
=
6
+
4
36
=
10
36
=
5
18
© examsnet.com
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