Question

Two cards are drawn successively without replacement from a well shuffled pack of 52 cards.Find the probability distribution of the number of aces.

Answer 1

In a well shuffled pack of 52 cards, there are 4 aces and 48 other cards.

So, the probability distribution of aces is as follows:-

$$\begin{gathered} \mathrm{P}(0\mathrm{ace})=\frac{48}{52}\times \frac{47}{51} \\ \mathrm{P}(1\mathrm{ace})=\frac{4}{52}\times \frac{48}{52} \end{gathered}$$

$\mathrm{P}(2\mathrm{aces})=\frac{4}{52}\times \frac{3}{51}$