Question

14. each coeď¬cient in the equation ax2 + bx + c = 0, is determined by throwing an ordinary die. find the probability that the equation will have real roots

Answer 1

a, b, c lies between 1 and 6 including both.

for real roots
${b}^{2} - 4ac \geqslant 0$
now make pairs like

( a, b, c)
(1,2,1)
(1 , 3, 1)
(2,3,1)
etc