SOLUTION: A card player draws 4 cards from a standard pack of 52 cards. Find the probability that this results in a card being drawn from each of the 4 suits.

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Question 855253: A card player draws 4 cards from a standard pack of 52 cards.
Find the probability that this results in a card being drawn from each of the 4 suits.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A card player draws 4 cards from a standard pack of 52 cards

P(a card from each of the 4 suits) = %281%2F52%29%2839%2F51%29%2826%2F50%29%2813%2F49%29

the 39 , 36, 13 represent the number of cards left in other suits respectively as the next card is drawn

After 1st card .. there are 3 remaining suits to chose from, (13*3 = 39)

After 2nd card .. there are 2 remaining suits to chose from, (13*2 = 26)

After 3nd card .. there is 1 remaining suits to chose from, (13*1 = 13)