Question

Three mangoes and three apples are in a box if two fruits are chosen at random, the probability that one is a mango and the other is an apple is

• A. $\frac{2}{3}$
• B. $\frac{3}{5}$
• C. $\frac{1}{3}$
• D. None of these

Answer 1

The correct option is B $\frac{3}{5}$

Total ways ${=}^6{C}_2=15$
Favourable ways ${=}^3{C}_1{\times }^3{C}_1=9.$
Read. probability $=\frac{9}{15}=\frac{3}{5}.$