Question

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?

Answer 1

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

Answer 2

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)`