Hi

 card is drawn randomly from a standard 52-card deck

P(9 drawn) = 4/52

P(face card drawn) = 12/52

P(not a face card drawn) = 1 - 12/52

Present as You wish, fraction(lowest terms), decimal or percentage format

4 cards are drawn at random from a standard deck. 

WILL ASSUME NON REPLACEMENT

p(all hearts) = (13/52)*(12/51)*(11*50)*(10*49)

P(all face cards)= (12/52)*(11/51)*(10/50)*(9/49)

P(all are even)=

will leave the counting of the number of even cards in the deck up to You 

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
 





The probability of anything is the number of ways that it can happen that you would consider a success divided by the number of ways it can happen total -- successes and failures.





There are 52 cards in the deck.  4 of them are 9s.





12 of them are face cards.





40 of them are not face cards.  (or just subtract the answer to the previous question from 1)





The probability of  successes in  trials where  is the probability of success on any given trial is given by:











Where  is the number of combinations of  things taken  at a time and is calculated by 





So for 4 hearts out of 4 cards dealt:  , , and 





So for 4 face cards out of 4 cards dealt:  , , and 





And for 4 even numbered cards out of 4 cards dealt:  , , and 





You get to do your own arithmetic.  Hint:  and  





John



My calculator said it, I believe it, that settles it



 

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