Correct Answer - Option 2 :
\(\rm 7\over34\)
Concept:
Calculation:
Total number of balls = 3 + 6 + 8 = 17
Total number of red balls = 8
Selection of 2 balls out of 15 = 17C2
Selection of 2 red balls out of 5 = 8C2
So the required probability (P) = \(\rm ^{8}C_2\over^{17}C_2\)
P = \(\rm 8\times7\over17\times16\) = \(\boldsymbol{\rm 7\over34}\)