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?

Question

asked Feb 22, 2019 121k views

2 Answers

Donquixote · Answer 1 · 2019-02-24T12:21:16+0000

Answer:

the correct answer was 1/13

Explanation:

i took my test and put 4/13 which was wrong and said that 1/13 is the right answer

Markharrop · Answer 2 · 2019-02-28T06:20:33+0000

Answer:

Probability that card is queen given that card is club is
(4)/(13)

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

$P(A|B)=(P(A\cap B))/(P(B))$

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
$P(A\cap B)=(4)/(52)=(1)/(13)$

Probability that card is club from deck of 52 cards
P(B)=(13)/(52)=(1)/(4)

To find probability that card is queen given that card is club
P(A|B)

$P(A|B)=(P(A\cap B))/(P(B))$

P(A|B)=((1)/(13))/((1)/(4))

P(A|B)=(1*4)/(13* 1)=(4)/(13)

Therefore, Option A is correct.

Probability that card is queen given that card is club is
(4)/(13)