A candy company claims that in a large bag of holiday M&M’s® half the candies are red and half the candies are green. You pick candies at random from a bag and discover that of the first 20 you eat, 12 are red.

a) If it were true that half are red and half are green, what is the probability you would have found that at least 12 out of 20 were red?

b) Do you think that half of the M&M’s® candies in the bag are really red? Explain.