Someone hands you a box of 27 chocolate-covered candies, telling you that 16 are vanilla creams and the rest are peanut butter. You pick candies at random and discover the first 4 you eat are all...

Extracted text: Someone hands you a box of 27 chocolate-covered candies, telling you that 16 are vanilla creams and the rest are peanut butter. You pick candies at random and discover the first 4 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. What is the probability that you would have picked 4 vanillas in a row? If there really were16 vanilla and 11peanut butter candies in the box, (Round to three decimal places as needed.)