probability problem: 5 ppl every one reaches his hand out , back hand - black or forehand -white

[tom123]

Hi
we have 5 ppl every one reaches his hand out , back hand - black or forehand -white .
what is the probability that we will have only one white or black ;which is different from the rest
1 white and 4 blacks
or
1 black and 4 whites

thanks

 

[BigBeachBanana]

See the binomial distribution.

 

[tom123]

thank you very much
i came with 10/32