Someone hands you a box of 17 chocolate-covered candies, telling you that 8 are vanilla creams and the rest are peanut butter. You pick candies at random and discover the first 3 you eat are all vanilla. Consider a result to be surprising if there is less than a 5% chance of observing it given your expectations. Complete parts a through c below. a) If there really were 8 vanilla and 9 peanut butter candies in the box, what is the probability that you would have picked 3 vanillas in a row? (Round to three decimal places as needed.)