a card is chosen from a standard deck of cards. what is the probability that the card is a queen, given that the card is a club?
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Answer:
Probability that card is queen given that card is club is [tex]\frac{4}{13}[/tex]
Step-by-step explanation:
Given : A card is chosen from a standard deck of cards.
To find : What is the probability that the card is a queen, given that the card is a club?
Solution : It is the conditional probability
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]
Let A is probability that card is queen.
Let B is the probability that card is a club.
Probability that card is queen given card is club [tex]P(A\cap B)=\frac{4}{52}=\frac{1}{13}[/tex]
Probability that card is club from deck of 52 cards [tex]P(B)=\frac{13}{52}=\frac{1}{4}[/tex]
To find probability that card is queen given that card is club [tex]P(A|B)[/tex]
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]
[tex]P(A|B)=\frac{\frac{1}{13}}{\frac{1}{4}}[/tex]
[tex]P(A|B)=\frac{1\times4}{13\times 1}=\frac{4}{13}[/tex]
Therefore, Option A is correct.
Probability that card is queen given that card is club is [tex]\frac{4}{13}[/tex]
Answer:
the correct answer was 1/13
Step-by-step explanation:
i took my test and put 4/13 which was wrong and said that 1/13 is the right answer