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Which one of the following is not true f...

Which one of the following is not true for any two events A and B ?

A

`P(A cap B)ge P(A)+P(B)-1`

B

`P(A cap B) le P(A)`

C

`P(A^(c ) cap B^(c ))=1-P(A cap B)`

D

`P(A) le P(A cup B)`

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
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  2. 12 balls are kept in 3 different boxes, then the probability that the ...

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  3. Which one of the following is not true for any two events A and B ?

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  4. The value of ("sin"^(-1)(1)/(2)+2"cos"^(-1)(1)/(2)) is -

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  5. If cos^(-1)x+cos^(-1)y=pi, then the value of (sin^(-1)x+sin^(-1)y) i...

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  6. If 2f((1)/(x))+f(x)=3x, then the value of f(2) is -

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  7. If the position vectors of two given points A and B be 4hati+hatj+2hat...

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  8. If the points with position vectors 2hati+6hatj, hati+2hatj and m hati...

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  9. Let R={(3,3),(6,6),(9,9),(12,12), (6,12),(3,9),(3,12),(3,6)} be a rela...

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  10. Let f:R to R be defined by f(x)=x|x|, then the function f is -

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  11. If f:R to R, g:R to R and h : R to R be defined respectively by f(x)=s...

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  12. Let R be the set of real numbers and f:R to R be defined by f(x)=2x^(2...

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  13. If f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))+2, then the value of f^(-1)(x) ...

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  14. If I is the unit matrix of order 10xx10, then the determinant of I is...

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  15. If A and B are two square matrices of the same order, then (A-B)^(2) i...

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  16. The root of the equation |(x,3,7),(2,x,-2),(7,8,x)|=0 are -

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  17. The value of the determinant |(5^(2),5^(3),5^(4)),(5^(3),5^(4),5^(5))...

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  18. If A=|(-1,2,4),(3,1,0),(-2,4,2)|and B=|(-2,4,2),(6,2,0),(-2,4,8)|, the...

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  19. For how many values of x in the closed interval [-4, -1], the matrix [...

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  20. [(7,1,2),(9,2,1)]xx[(3),(4),(5)]+2[(4),(2)] is equal to the matrix-

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