SOLUTION: If three cards are removed at random, one at a time without replacement, find the probability that at least one of the cards is a face card?

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Question 414313: If three cards are removed at random, one at a time without replacement, find the probability that at least one of the cards is a face card?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

three cards removed at random, one at a time 'without replacement'

Given there are 12 face cards(jack, queen,king in each the 4 suits)

 40 of the cards are 'not' face cards

P(at least one of the cards is a face card) = 1 - P(no face cards) 

 1 - P(no face cards) = 1 - 40/52*39/51*38*50



Note: w/o replaceement: 

the number of non-face cards and the number of cards is one less when next card is drawn