Question

a card is drawn from a well - shuffled deck of 52 cards. find ( p(\text{drawing an ace or a } 8) ).
a. ( \frac{8}{13} )
c. ( \frac{4}{13} )
b. ( \frac{2}{13} )
d. ( \frac{13}{2} )

please select the best answer from the choices provided

( \bigcirc ) a
( \bigcirc ) b
( \bigcirc ) c
( \bigcirc ) d

Explanation:

Step1: Identify number of aces and 8s

In a deck of 52 cards, there are 4 aces and 4 eights. Since we want the probability of drawing an ace or a 8, these are mutually exclusive events (a card can't be both an ace and a 8 at the same time). So the number of favorable outcomes is \(4 + 4 = 8\).

Step2: Calculate probability

The probability \(P\) of an event is the number of favorable outcomes divided by the total number of possible outcomes. The total number of cards is 52. So \(P=\frac{8}{52}\). Simplify this fraction by dividing numerator and denominator by 4: \(\frac{8\div4}{52\div4}=\frac{2}{13}\).

Answer:

B. \(\frac{2}{13}\)