Question

A box contains 2 blue, 3 green and 5 red balls. If three balls are drawn at random, what is the probability that all balls are different in color?

• A. $\frac{3}{10}$
• B. $\frac{1}{4}$
• C. $\frac{3}{7}$
• D. $\frac{4}{11}$
• E. $\frac{2}{9}$

Answer 1

The correct option is B $\frac{1}{4}$

Total balls = 10
So probability $=\frac{{}^2{C}_1{\times }^3{C}_1{\times }^5{C}_1}{{}^{10}{C}_3}=\frac{1}{4}$