Tuesday, June 7, 2022

Is it a queen?

 

A single card is drawn from a standard deck of playing cards. What is the probability that the card is a queen provided that a face card is drawn from the deck of cards?

Answer

face cards are King Queen and jack

P(Q|F) = P(QF)/P(F) = P(Q)/P(F) = (4/52)/(12/52) = 4/12 = 1/3

as  P(QF) = P(Q) , as Queen is already a face card.


 

 

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