The coeff of quadratic equn of ax2+bx+c=0 are chosen from 1st 3 prime nos here a not equal b not - Maths - Probability

Question

The coeff of quadratic equn of ax2+bx+c=0 are chosen from 1st 3
prime nos here a not equal b not equal to c find the probability
that eqn has real roots

Rahul Raj · Accepted Answer

dear student

the first 3 prime numbers are 2,3 and 5so, there will be six sets of numbers for (a,b,c)(2,3,5)(2,5,3)(3,5,2)(3,2,5)(5,2,3)(5,3,2)only in two cases of (2,5,3) and (3,5,2) for (a,b,c)we will have discriminant as positiveD=b2-4acas positive so required probability = 2/6

regards

The coeff of quadratic equn of ax2+bx+c=0 are chosen from 1st 3 prime nos here a not equal b not equal to c find the probability that eqn has real roots