Question

type the correct answer in the box. if necessary, use / for the fraction bar. give your answer in reduced form. a card is drawn at a random from a well - shuffled deck of playing cards. the probability that the card drawn is an ace or a red card is

Explanation:

Step1: Define total & favorable counts

Total cards: $n(S)=52$
Red cards: $n(R)=26$, Aces: $n(A)=4$, Red Aces: $n(R\cap A)=2$

Step2: Apply addition rule

Use $P(A\cup R)=P(A)+P(R)-P(A\cap R)$
$\frac{4}{52}+\frac{26}{52}-\frac{2}{52}$

Step3: Simplify the fraction

$\frac{4+26-2}{52}=\frac{28}{52}=\frac{7}{13}$

Answer:

$\frac{7}{13}$