Given S={x2+bx+c=0 b,c∈{1,2,3,4,5,6}} Since, we know that a quadratic equation ax2+bx+c=0 has real roots, if b2−4ac≥0 ∵ a=1, hence condition for the given equation is b2−4c≥0 Total number of equations in S, which has roots = 6 × 6 n(S)=36 Let E be the event, which contains equations having real roots following condition b2≥4C ∴ n(E)=19 ∴ P(k)=