A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?

A. $$\frac{{4}}{{9}}$$

B. $$\frac{{5}}{{9}}$$

C. $$\frac{{7}}{{9}}$$

D. $$\frac{{8}}{{9}}$$

Answer: Option B

Solution(By Examveda Team)

Two balls can be picked from nine balls in $${{}^9{C_2}}$$ ways.
We select one white ball and one red ball from five white balls and four red balls.
This can be done $${{}^5{C_1}}$$ . $${{}^4{C_1}}$$ ways.
∴ The required probability
$$\eqalign{ & = \frac{{5 \times 4}}{{{}^9{C_2}}} \cr & = \frac{{20}}{{36}} \cr & = \frac{5}{9} \cr} $$