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For three events `A ,B` and `C ,P` (Exactly one of `A` or `B` occurs) `=P` (Exactly one of `B` or `C` occurs) `=P` (Exactly one of `C` or `A` occurs) `=1/4` and `P` (All the three events occur simultaneously) `=1/6dot` Then the probability that at least one of the events occurs, is : `7/(64)` (2) `3/(16)` (3) `7/(32)` (4) `7/(16)`

A

`(3)/(16)`

B

`(7)/(32)`

C

`(7)/(16)`

D

`(7)/(64)`

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS ENGLISH-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. A multiple choice examination has 5 questions. Each question has three...

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  3. Four person independently solve a certain problem correctly with pr...

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

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

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

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

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

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

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

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

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

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  13. Let n(1)and n(2) be the number of red and black balls, respectively, i...

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  14. Let two fari 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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