Additional Questions on Probability
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8/18/2019 Additional Questions on Probability
1/5
S Kumar
1.
A 50
. . I
,
) ?
) ?
) ?
) ?
2.
A
. I ,
.
3.
C .A: .
B: .
C: 1 2.
)
A A B ?
)
A A C ?
4.
, , .
:
A: B .
B: B .
C: B .
D: B .
I ,
A B, C, D?
5.
I A B (A) = 0.5, (B) = 0.3, (A ∩ B) = 0.1, :
∪ ∩ ∩ ∪
6. A B
B . ,
1
1
-
8/18/2019 Additional Questions on Probability
2/5
S Kumar
7. A, B C 0. C .
8. ,
.
0.63 0.13
0.14 0.10
() ?
()
?
() ,
, ?
9.
F
.
)
A B 0 < (B) < 1. I 1,
(A) = 1.
) A B ∪ 1 .
) A, B, C . I A B B C A
C.
) I A B , B C , A C ,
A,B C .
) I (A) = (B) = (C) = 0.1, (A∪B∪C) ≤ 0.3.
)
I A,B C , A ∩ B ∩ C = Φ
10. 12 4
. A , 5
7 .
I , ?
11. A 18 . I ,
.
()
A =
() B =
12.
:
() I , A B .
()
I , .
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8/18/2019 Additional Questions on Probability
3/5
S Kumar
13. .
F ,
, . 50%
, 30% , .
F 0.6,
0.7, 0.4.
G ,
() ?
()
?
14.
A . H , A, B C, 20%, 30% 50% . 4%
A , 5% B 2%
C .
.
() A?
() B?
() C?
15. A
. ,
25% , 25% ,
50% . F
,
20% 10%
.
?
16. A . H A
0.3, B 0.3 C 0.4.
A 0.6.
B 0.5
C 0.1.
)
A . B?
) .
?
-
8/18/2019 Additional Questions on Probability
4/5
S Kumar
17. A , , , ,
.
( ) ,
,
. I , , , , 30, 40, 30 ,
() ;
()
, ;
() , ?
18. , 60% , 30%
,
. , 50%
, 50% 90% .
.
() ?
() ?
() ,
?
() ,
?
19.
A, B C. A 2 1 . B
3 2 . C 2 2 .
A B.
B C. C.
() F .
() I C ,
A B ?
() I C ,
A B ?
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8/18/2019 Additional Questions on Probability
5/5
S Kumar
1.1
4900
69
4900
207
980
759
980
2.37
3.
4. 1
2,
1
3
1
3
1
3;
5. 1
3
1
5
5
7 1
1
7
7. A, B C .
8. 0.76 0.77 0.4348
9 ;
9 F; A A B .
9 F; G .
9 F; A 13.
9 ; A ∪ B ∪ C
9 F; B .
10. 0.3535
11. 0.4461 0.1029
13. 0.5085 0.6441
14. 0.2424 0.4546 0.3030
15.4
9
16. 15
37 0.4127
17. 0.032 0.0938 0.625
18. 0.54 0.15 0.2778 0.9
19. 0.5222 0.6383 0.4186