At a local racetrack, 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. If you went to this particular track and bet on 12 races, what is the probability that you would pick the winner in:

a. 6 races

b. less than 6 races

c. either 3 races OR more than 7 races

*Can you please write on a separate piece of paper and send as an attachment? My teacher also stated that we must use the binomial table to solve the problem, can you also explain how used that in the problem to arrive at the answer?