Four cards are successively drawn without replacement from a deck of 52 playing cards. What is the probability that all four cards are kings ?
There are two ways to approach this i) There are $4$ favorable events out of $ ^{52}C_4$ events so the probability is $\frac{4}{^{52}C_4}$
way two there are $\frac{4}{52}$ ways of selecting the first card, $\frac{3}{51}$ dor the second and so on, which gives us a probability of $\frac{1}{270725}$. why are there two different answers , and why is the $2^{nd}$ one right?
$$ \text{Probability}=\frac{\binom{4}{4}\binom{48}{0}}{\binom{52}{4}}. $$