Four cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the given event. (Round your answer to four decimal places.)
Four cards of the same suit are drawn.
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Answer:
hii here is your answer
Step-by-step explanation:
There are 4 suits in a standard deck 52 cards.
Number of ways of selecting 4 cards out of 13 cards( i.e. a suit) are
13!/(4!9!)
Note that we can choose 4 cards out of any 4 possible suits.
So total ways become:
P = 4 * ( 13!/9!4! )
Also, no of ways to select 4 cards out of 52 cards are:
Q = 52!/(4!48!)
Hence The probability is:
P/Q
= (4*13!/4!9!)/(52!/4!48!)
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