Consider $f (x) = x^{3} + a x^{2} + b x + c$ . Parameters a, b, c are chosen, respectively, by throwing a die three times. Then the probability that f(x) is an increasing function is

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Consider

f (x) = x^{3} + a x^{2} + b x + c

. Parameters a, b, c are chosen, respectively, by throwing a die three times. Then the probability that f(x) is an increasing function is

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Consider

f (x) = x^{3} + a x^{2} + b x + c

. Parameters a, b, c are chosen, respectively, by throwing a die three times. Then the probability that f(x) is an increasing function is

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