The probability of choosing randomly a number c from the set {1,2,3,…,9} such that the quadratic equation `x^(2)+4x+c=0` has real roots, is

Options

A. `(1)/(9)`
B. `(2)/(9)`
C. `(3)/(9)`
D. `(4)/(9)`

Answer

D

Explanation

Given, `x^(2)+4x + c =0`
For real roots, `D = b^(2) - 4ac ge 0 = 16 - 4c ge 0`
So, `c = 1, 2, 2, 4` will satisfy the above inequality.
`therefore` Required probability `=(4)/(9)`