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]
+118608 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
