From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -

Answer: Option A

Let E₁ be the event of drawing a red card.
Let E₂ be the event of drawing a king.
$$P\left(E_1\cap E_2\right)=P\left(E_1\right).P\left(E_2\right)$$
(As E₁ and E₂ are independent)
$$\begin{array}{rl}& =\frac{1}{2}\times \frac{1}{13}\\ & =\frac{1}{26}\end{array}$$