Two friends A and B apply for a job in the same company. The chances of A getting selected is $$\frac{{2}}{{5}}$$ and that of B is $$\frac{{4}}{{7}}$$. What is the probability that both of them get selected?

Solution (By Examveda Team)

$$\eqalign{ & P\left( A \right) = \frac{2}{5} \cr & P\left( B \right) = \frac{4}{7} \cr} $$
E = {A and B both get selected}
$$\eqalign{ & P\left( E \right) = {\text{ }}P\left( A \right) \times P\left( B \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{2}{5} \times \frac{4}{7} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{8}{{35}} \cr} $$