Question

Two cards are drawn one by one from a pack of cards. Find the probability of getting first card an ace and second an honour card (before drawing second card first card is not placed again in the pack).

Answer 1

$P\left(E_1\right)=\frac{4}{52}=\frac{1}{13}$

$P\left(\frac{E_2}{E_1}\right)=\frac{15}{51}=\frac{5}{17}$

$P(E_1\cap E_2)=P\left(E_1\right)P\left(\frac{E_2}{E_1}\right)=\frac{1}{13}\times \frac{5}{17}=\frac{5}{221}$