TMUA Practice Question — Worked Solution

P1·Statistics & Probability·6.0Mock 0 · P1 · Q13

probabilityquadraticdiscriminantfactor theoremdegenerate caserational inequality

An integer

k

is chosen at random from the range

- 6 \leq k \leq 6

. All possible values of

k

are equally likely to be chosen.What is the probability that the equation

(k + 2) x^{2} - (3 k - 2) x + 2 k - 4 = 0

has two distinct real roots, both of which are positive?

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