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Two numbers b and c are chosen at random...

Two numbers b and c are chosen at random with replacement from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9. The probability that `x^2+bx+cgt0` for all `x in R,` is

A

`(17)/(123)`

B

`(32)/(81)`

C

`(82)/(125)`

D

`(45)/(143)`

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