$\frac{52}{55}$

$\frac{3}{55}$

$\frac{41}{44}$

$\frac{3}{44}$

C. $\frac{41}{44}$

Total cases =${}^{12}c_{3}$

$=\frac{12\times 11\times 10}{3\times 2\times 1}=220$

Total cases of drawing same colour =${}^{5}c_{3}+{}^{4}c_{3}+{}^{3}c_{3}$

$\frac{5\times 4}{2\times 1}+4+1=15$

Probability of same colur $==\frac{15}{220}=\frac{3}{44}$

Probability of not same colur =$1-\frac{3}{44}$

=$\frac{41}{44}$