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
Algebra.Com
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
:
*******************************************************************
P of drawing a club or a king = 13/52 + 4/52 - 1/52 = 16/52 = 4/13
:
answer is C
*******************************************************************
:
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_
RELATED QUESTIONS
a single card is chosen at random from a standard deck of 52 playing cards.What is the... (answered by stanbon)
A card is chosen at random from a standard deck of 52 playing cards.
What is the... (answered by Boreal)
A card is selected at random from a standard deck of 52 cards. Find the probability of... (answered by stanbon)
A card is selected at random from a standard deck of 52 cards. Find the probability of... (answered by Rizz Rizz)
A card is drawn at random from a deck of 52 playing cards. Find the
probability that it... (answered by stanbon,jorel1380)
what is the probability of choosing a ten or a jack from a standard deck of 52 playing... (answered by brucewill)
Two cards are drawn without replacement from a standard deck of
52 playing cards. What (answered by Theo)
One card is selected at random from a standard deck of 52 playing cards. Use a formula to (answered by Edwin McCravy)
in drawing one card from a deck of 52 playing cards what is the probability of choosing a (answered by rfer)