AP EAPCET 25-Aug-2021 Shift 2 Paper

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)=

n(k)

n(S)

=

19

36