Determine whether the events are mutually exclusive.
-A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4).
A) $\frac { 4 } { 13 }$

B) $\frac { 12 } { 13 }$

C) 16

D) $\frac { 2 } { 13 }$

Question

Determine whether the events are mutually exclusive.
-A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4). 
A) $\frac { 4 } { 13 }$

B) $\frac { 12 } { 13 }$

C) 16

D) $\frac { 2 } { 13 }$

Quizplus · Accepted Answer

The events are not mutually exclusive because a card can be both a face card and a 4 (specifically, the 4 of clubs, diamonds, hearts, or spades). There are 12 face cards (Jacks, Queens, Kings of each suit) and 4 fours in a deck. However, since we count the 4s without including them again as face cards, the total number of favorable outcomes is 12 (face cards) + 4 (fours) = 16. Since there are 52 cards in total, the probability is $ \frac{16}{52} = \frac{4}{13} $.

Determine Whether the Events Are Mutually Exclusive 413\frac { 4 } { 13 }134​

Determine Whether the Events Are Mutually Exclusive $\frac { 4 } { 13 }$