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 -

A. $$\frac{{1}}{{26}}$$

B. $$\frac{{3}}{{52}}$$

C. $$\frac{{15}}{{26}}$$

D. $$\frac{{11}}{{26}}$$

Answer: Option A

Solution(By Examveda Team)

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)
$$\eqalign{ & = \frac{1}{2} \times \frac{1}{{13}} \cr & = \frac{1}{{26}} \cr} $$