Someone hands you a box of

15

chocolate-covered candies, telling you that

9

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. Complete parts a through c below.

Question content area bottom

Part 1

a) If there really were

9

vanilla and

6

peanut butter candies in the box, what is the probability that you would have picked

4

vanillas in a row?

enter your response here

(Round to three decimal places as needed.)