question_answer

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 \[{{x}^{2}}+bx+c>0,\] \[\forall x\in R,\] is________.

A)  \[\frac{32}{81}\]          

B)  \[\frac{31}{81}\]

C)  \[\frac{10}{27}\]                                  

D)  \[\frac{11}{27}\]

E)  None of these