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EAMCET Engineering 2006 Solved Paper
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© examsnet.com
Question : 121
Total: 160
In the random experiment of tossing two unbiased dice let
E
be the event of getting the sum 8 and
F
be the event of getting even numbers on both the dice. Then :
I.
P
(
E
)
=
7
36
II.
P
(
F
)
=
1
3
Which of the following is a correct statement?
Both I and II are true
Neither I nor II is true
I is true, II is false
I is false, II is true
Validate
Solution:
E
=
Event of getting the sum 8.
=
{
(
2
,
6
)
,
(
3
,
5
)
,
(
4
,
4
)
,
(
5
,
3
)
,
(
6
,
2
)
}
and
F
=
Event of getting the even numbers on both the dice.
=
{
(
1
,
1
)
,
(
2
,
2
)
,
(
3
,
3
)
,
(
4
,
4
)
,
(
5
,
5
)
,
(
6
,
6
)
}
∴
P
(
E
)
=
5
and
P
(
F
)
=
6
also
n
(
S
)
=
36
∴
P
(
E
)
=
n
(
E
)
n
(
S
)
=
5
36
and
P
(
F
)
=
n
(
F
)
n
(
S
)
=
6
36
=
1
6
∴
Neither I nor II is true.
© examsnet.com
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