A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -

A. $$\frac{{8}}{{15}}$$

B. $$\frac{{2}}{{5}}$$

C. $$\frac{{3}}{{5}}$$

D. $$\frac{{7}}{{15}}$$

Answer: Option D

Solution(By Examveda Team)

Drawing two balls of same color from seven green balls can be done in $${}^7{C_2}$$ ways.
Similarly from eight white balls two can be drawn in $${}^8{C_2}$$ ways.
$$\eqalign{ & P = \frac{{{}^7{C_2}}}{{{}^{15}{C_2}}} + \frac{{{}^8{C_2}}}{{{}^{15}{C_2}}} \cr & \,\,\,\,\,\,\, = \frac{7}{{15}} \cr} $$