## 137. Math Puzzle 10/76

A card is drawn blindly from a Skat deck. After it is shuffled back in, the "draw" is repeated.

What is the probability that the first card is an Ace and the second card is a King?
According to the relative frequencies, we have:

$$
P_{\mathrm{A}}=\frac{4}{32}=0.125 ; \quad P_{\text {King }}=\frac{4}{32}=0.125
$$

According to the and-also rule, we have:

$$
P=P_{\mathrm{A}} \cdot P_{\text {King }}=0.125^{2}=0.0156
$$

This means: In 1000 trials, the combined event is expected to occur only about 16 times, which is very rare.