Probability

it's been far too long since I've done real math... someone give me a hand here.

I have n samples of three options: 1, 2, 3.

What is the probability that I get a majority decision? (roof(n/2) of the same value), assuming each value has equal probability of being chosen.

I'm really only interested in n = 1..6, but a closed form solution would be nice.

I think you should look at binomial distribution. For example let success denote that a 1 is chosen which gives that p=1/3. This should give you a nice start at least.

ah-ha! I was missing the (1-p) portion in my formulation which why it wasn't quite right. Thanks Shakti!

Nice to see that i have some use for my course in mathematical statistics I just finished :)