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A Euchre deck consists of 24 cards. Probability questions.

Mathematics
Tutor: None Selected Time limit: 0 Hours

Each card has a unique combination of one of six ranks 9,10, J, Q ,K, A and 1 of 4 suits. Suppose you draw a hand of four cards from a eucre deck assuming all cards are equally likely.

What is the probability that our hand is all 1 suit?

What is the probability that our hand has all 4 suits?

What is the probability that our hand is all of one rank?

What is the probability that our hand contains four different ranks?

thanks in advance for helping me understand this one

Apr 9th, 2015

Please give some more time.......I can do this definitly but I am having dinner....If you give me half an hour I will send you the detailed solution.


Apr 9th, 2015

What is the probability that our hand is all 1 suit?

4 x ( 6 C 4 ) / 24 C 4 = 15 / 10626 = 5 / 3542

What is the probability that our hand has all 4 suits?

4 x ( 6 C 1 ) / 24 C 4 = 24 / 10626 = 4 / 1771

What is the probability that our hand is all of one rank?

6 /10626 = 1 / 1771

What is the probability that our hand contains four different ranks?

360/10626 = 60 / 1771


If you still have any doubts do contact me !!!!

All the best !


Apr 9th, 2015

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