At the Fairgrounds race track, each race has 5 horses. Assume that the horses are equally matched in the race such that every horse has an equally likely chance of winning (so, binomial distribution...

At the Fairgrounds race track, each race has 5 horses. Assume that the horses are equally matched in the race such that every horse has an equally likely chance of winning (so, binomial distribution is appropriate).  If you went to this particular track and bet on 12 races, what is the probability that you would pick the winner in:

More than 6 races

Use the binomial table!