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# Halp plz

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Suppose we shuffle a deck and draw the top card. What is the probability that this card is a red card or a face card (or possibly both)?

May 16, 2020

$$P(\text{red} \cup \text{face})=P(\text{red})+P(\text{face})-P(\text{red}\cap\text{face})\\ P(\text{red} \cup \text{face})=\frac{26}{52}+\frac{12}{52}-\frac{6}{52}\\ P(\text{red} \cup \text{face})=\frac{32}{52}=\frac{8}{13}$$