Solve the problem.
-Consider the sample space for a single card drawn from a standard deck. Find the probability that the card drawn is a face card or a black card.
A) $\frac { 1 } { 4 }$
B) $\frac { 8 } { 13 }$
C) $\frac { 23 } { 52 }$
D) $\frac { 11 } { 26 }$

Question

Solve the problem.
-Consider the sample space for a single card drawn from a standard deck. Find the probability that the card drawn is a face card or a black card. 
A) $\frac { 1 } { 4 }$
B) $\frac { 8 } { 13 }$
C) $\frac { 23 } { 52 }$
D) $\frac { 11 } { 26 }$

Quizplus · Accepted Answer

In a standard deck, there are 12 face cards (Jacks, Queens, Kings of each suit) and 26 black cards (Spades and Clubs). However, 6 of the black cards are also face cards, so they are counted twice if we simply add these numbers. To avoid double-counting, we calculate the probability as follows: the number of unique cards that are either face cards or black cards is 12 (face cards) + 20 (black non-face cards) = 32. The probability is then 32 out of 52, which simplifies to $\frac{8}{13}$.

Solve the Problem 14\frac { 1 } { 4 }41​ B) 813\frac { 8 } { 13 }138​

Solve the Problem $\frac { 1 } { 4 }$ B) $\frac { 8 } { 13 }$