Complement of a Set
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If A, B and C are three events such that P(B) =34, P(A∩B∩C′)=13 and P(A′∩B∩C′)=13, then P(B∩C) is equal to
112
16
115
19
I. A and B∪C are independent events.
II. A and B∩C are independent events.
- Only II is true
- Both are true
- Both are false
- Only I is true
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 3, 4}
The set AI is
{5, 6, 7, 8, 9, 10}
{1, 2, 3, 4}
{2, 3, 4, 5, }
None of these
If A and B are two given sets, then A∩(A∩B)′ is equal to
∅
(A∩B′)
B
A
[(B′∪(B′−A))]′ =
A
B
A - B
B - A
If n(U)=700, n(A)=200, n(B)=300 and n(A∩B)=100, then n(A′∩B′)= ___.
400
300
200
600
If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set and some set A = {1, 4, 6, 9, 11, 12}, then set AC is ________.
can't be determined
{4, 6, 8, 10, 14, 17}
{2, 8, 10, 14, 17}
{1, 2, 8, 10, 14, 17}
240
300
500
400
If A and B are two disjoint sets, then A - B = ______.
[(A′∪B′)−A]′=
A
B
B - A
A - B