Find the indicated probability by using the special addition rule.
-A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 3?
A) $\frac { 4 } { 13 }$
B) $\frac { 48 } { 52 }$
C) 16
D) $\frac { 2 } { 13 }$

Question

Find the indicated probability by using the special addition rule.
-A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 3? 
A) $\frac { 4 } { 13 }$
B) $\frac { 48 } { 52 }$
C) 16
D) $\frac { 2 } { 13 }$

Quizplus · Accepted Answer

In a standard deck of 52 cards, there are 12 face cards (Jacks, Queens, and Kings in each of the four suits) and 4 cards with the number 3 (one in each suit). However, when calculating the probability of drawing a face card or a 3, we must remember not to double-count any cards (in this case, there are no cards that are both a face card and a 3, so no need to adjust for overlap). Thus, the total number of favorable outcomes is 12 (face cards) + 4 (3s) = 16. The probability is then 16 favorable outcomes out of 52 possible outcomes, which simplifies to $\frac{16}{52} = \frac{4}{13}$.

Find the Indicated Probability by Using the Special Addition Rule 413\frac { 4 } { 13 }134​

Find the Indicated Probability by Using the Special Addition Rule $\frac { 4 } { 13 }$