SOLUTION: A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a club or a king? A) 17/52 B) 9/26 C) 4/13 D) none of the answ

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Question 1082602: A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a club or a king?
A) 17/52
B) 9/26
C) 4/13
D) none of the answers listed
Found 2 solutions by rothauserc, natolino_2017:
Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website!
Probability(P) of drawing a club = 13/52
:
P of drawing a king = 4/52
:
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P of drawing a club or a king = 13/52 + 4/52 - 1/52 = 16/52 = 4/13
:
answer is C
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:
Note that we had to subtract the P of drawing the K of clubs since we
already included the K of clubs in the P of drawing a club
:

Answer by natolino_2017(77) (Show Source):
You can put this solution on YOUR website!
First notice that there's a King of Club, so we need to be careful with that.
The question need to separate both options, but if we add, we need to subtract the intersection to elude duplicity.
P(Picking a club or a king)= P(Picking A club) + P(Picking a King) - P(Picking the King of Club).
= 1/4 + 1/13 - 1/52 = 4/13.
Note that is the same that counting the cards that works. Every club = 13 cards. Kings= 4 cards, King of Club= 1 card. Total working Cards = 13 + 4 - 1 = 16.
P()= Total Working Cards/Total Cards = 16/52 = 4/13.
So answer is c).
@natolino_