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1. The following cards are dealt to three people at random, so that everyone gets the same number of cards. What is the probability that everyone gets a red card?(3 red cards labled a,b and c, three yellow cards labeled a b and c, 3 blue cards labled a b and c)

 

 Apr 4, 2022
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1. The following cards are dealt to three people at random, so that everyone gets the same number of cards. What is the probability that everyone gets a red card?(3 red cards labled a,b and c, three yellow cards labeled a b and c, 3 blue cards labled a b and c)

 

There are 9 cards and 3 people the number of ways they can be dealt is  9!/(3!3!3!) = 1680 ways

 

How many ways can they each get a red card....

3!*6!/(2!2!)  = 1080

 

Prob = \(\frac{1080}{1680}=\frac{9}{14}\)

 

That is what i get anyway.  ( this is assuming that who gets which 3 cards actually does matter)

 Apr 4, 2022

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