SOLUTION: suppose we draw a card from a shuffled set of 52 playing cards. what is the probability of drawing a queen, given that the card drawn is of suit Hearts?

Question 1169086: suppose we draw a card from a shuffled set of 52 playing cards.
what is the probability of drawing a queen, given that the card drawn is of suit Hearts?
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

Using the formal definition of conditional probability....

P(A|B) = P(A and B)/P(B)

we get

P(queen|hearts) = P(queen and hearts)/P(hearts) = (number of cards that are queens AND hearts)/(number of hearts) = 1/13.

Informally, "...given that the card is hearts" means the denominator of the probability fraction is only the number of hearts. Then the problem becomes finding the probability that when a heart is chosen it is a queen; of course since only 1 of the 13 hearts is a queen, the answer is 1/13.

RELATED QUESTIONS
suppose we draw a card from a shuffled set of 52 playing cards. what is the probability (answered by math_tutor2020)

Draw one card from a well - shuffled deck of 52 playing cards. What is the probability of (answered by mananth)

suppose you draw a card from a well-shuffled dec of 52 cards. What is the probability of... (answered by jim_thompson5910)

Suppose you draw a card from a well-shuffled deck of 52 cards. Find the following... (answered by Fombitz)

suppose you draw a card from a well shuffled pack of playing cards what is the... (answered by Edwin McCravy)

Suppose you draw a card from a well-shuffled deck of 52 cards. Determine the following... (answered by stanbon)

You are dealt two cards successively ( without replacement)from a shuffled deck of 52... (answered by joyofmath)

you are dealt 2 cards successively (without replacement) from a shuffled deck of 52... (answered by rfer)