Respuesta :

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