Question

two cards are drawn from a set of 52 cards .find the probability that atleast one of them wilk be an ace of hearts

Answer 1

$$\begin{gathered} \mathrm{Since}\mathrm{there}\mathrm{are}\mathrm{only}\mathrm{one}\mathrm{ace}\mathrm{of}\mathrm{card}\mathrm{so}\mathrm{number}\mathrm{of}\mathrm{ways} \\ \mathrm{of}\mathrm{drawing}\mathrm{it}=1 \\ \mathrm{and}\mathrm{second}\mathrm{card}\mathrm{can}\mathrm{be}\mathrm{drawn}\mathrm{in}51\mathrm{ways} \\ \mathrm{So}\mathrm{required}\mathrm{probability}=\frac{1\times 51}{{}^{52}{\mathrm{C}}_2}=\frac{1}{26} \end{gathered}$$