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Let two fair six-faced dice A and B be t...

Let two fair six-faced dice A and B be thrown simltaneously. If `E_(1)` is the event that die A shows up four, `E_(2)` is the event that die B shows up two and `E_(3)` is the event that the sum of numbers on both dice isodd, then which of the following statement is NOT True ?

A

`E_2 and E_3` are independent

B

`E_1 and E_3` are independent

C

`E_1 and E_3` are independent

D

`E_1 and E_2` are independent

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. Four person independently solve a certain problem correctly with pro...

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  3. Of the three independent events E(1),E(2),and E(3), the probability th...

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  4. A box B(1) contains 1 white ball, 3 red balls, and 2 black balls. An- ...

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  5. A box B1 contains 1 white ball, 3 red balls and 2 black balls. Another...

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  6. Let A and B be two events, such that P(bar(A cup B))=(1)/(6), P(A cap ...

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  7. Three boys and two girls stand in a queue. The probability, that the n...

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  8. Box 1 contains three cards bearing number 1,2,3 , box 2 contains five ...

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  9. Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains fiv...

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  10. If 12 indentical balls are to placed in 3 indntical boxes, then the pr...

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  11. The minimum number of times a fair coin needs to be tossed, so that th...

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  12. Let n1 and n2 be the number of red and black balls respectively,in box...

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  13. There are two bags I and II . Bag I contains 4 white and 3 red balls a...

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  14. Let two fair six-faced dice A and B be thrown simltaneously. If E(1) i...

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  15. A computer producing factory has only two plants T(1) and T(2). Plant ...

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  16. Football teams T1 and T2 have to play two games against each other. It...

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  17. Football teams T(1)and T(2) have to play two games are independent. Th...

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  18. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

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  19. If two different numbers are taken from the set {0, 1, 2, 3, …, 10}, t...

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  20. For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exac...

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