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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?

 

[There are three red cards and three blue cards]

 
 Nov 20, 2022
 #1
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Say person 1 choses 2 cards then person 2 then person 3

 

In order for this to happen they all have to get 1 red and 1 blue card

 

lets say I tie a red and a blue together.  This can be RB or BR    2*2*2 = 8 ways this can happen. (with the 3 pairs)

altogether there are   6!/(3!3!) ways to order the cards  =  20 ways

 

So I think the likelyhood that they will each have a red card is    8/20  =  2/5

 
 Nov 20, 2022
edited by Melody  Nov 20, 2022
edited by Melody  Nov 20, 2022
edited by Melody  Nov 20, 2022

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