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A jar contains three +1, three -1 and four 0. Let Q(x) := a0 + a1...

A jar contains three +1, three -1 and four 0. Let Q(x) := a0 + a1 x + a2 x*x with a0, a1 and a2 drawn from the jar with replacement.

a). What is the probability that Q has only one root?

b). What is the probability that Q has two real roots?

c). Given that Q has two real roots, what’s the probability that both of them are positive?

Math   Statistics-And-Probability   
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