Question

a card is drawn from a well-shuffled deck of 52 cards. find the probability of drawing a black ace. the probability is \boxed{}. (simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Determine total outcomes

A deck has 52 cards, so total possible outcomes \( n(S) = 52 \).

Step2: Determine favorable outcomes

Black aces: Ace of spades and ace of clubs, so \( n(E) = 2 \).

Step3: Calculate probability

Probability \( P(E)=\frac{n(E)}{n(S)}=\frac{2}{52}=\frac{1}{26} \).

Answer:

\(\frac{1}{26}\)