Question

Given a standard deck of playing cards, what is the probability of randomly selecting a card that is either red or a face card or both? (a standard deck of playing cards has 52 cards, divided equally between red cards and black cards. there are twelve face cards among these 52, which are also divided equally between red cards and black cards. no card may be both red and black.)

Answer 1

Answer: $\bold{\dfrac{8}{13}}$

Step-by-step explanation:

Red   or    Face   -  duplicates (both red & face)

$\dfrac{26}{52}$     +       $\dfrac{12}{52}$      -     $\dfrac{6}{52}$

= $\dfrac{32}{52}$

= $\dfrac{8}{13}$   simplified