You randomly select one card from a 52-card deck. Find the probability of selecting a king or a two. The probability is \( \square \). (Type an integer or a fraction. Simplify your answer.)

To find the probability of selecting a king or a two from a standard 52-card deck, you first note that there are 4 kings and 4 twos in the deck. Since these two events (drawing a king and drawing a two) are mutually exclusive, you can simply add the probabilities together. The total number of favorable outcomes is \(4 + 4 = 8\). Therefore, the probability \(P\) of selecting a king or a two is calculated as: \[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{8}{52} = \frac{2}{13} \] So the probability is \(\frac{2}{13}\). When we think about probabilities, it’s fascinating to reflect on how similar ideas are used in real life! For instance, when placing bets in games like poker, players often rely on understanding card probabilities, just like we did here with the kings and twos. Knowing such probabilities helps one make strategic decisions that can lead to success at the card table. Also, you might think probabilities seem straightforward, but mistakes often arise from overlooking the total outcomes, especially in complex situations! A common pitfall is assuming that all cards are equally likely to be drawn without fully accounting for previous draws or different scenarios. Always double-check your favorable outcomes and total possibilities!