Question

If A and B are two events such that $A\subseteq B,$ then P(B/A) = _____________.

Answer 1

For two events A and B
Such that $A\subseteq B$.

$$\begin{gathered} P\left(\frac{B}{A}\right)=\frac{P\left(A\cap B\right)}{P\left(A\right)}\left[\mathrm{By}\mathrm{defination}\mathrm{of}\mathrm{conditional}\mathrm{probability}\right] \\ =\frac{P\left(A\right)}{P\left(A\right)} \\ \mathrm{i}.\mathrm{e}P\left(\frac{B}{A}\right)=1 \end{gathered}$$