On Valentine's Day, Jack purchases a box of chocolates for his girlfriend, Jill. The box contains 31 chocolates, 8 of which are plain chocolate (the rest are caramel-filled). Instead of giving her the box directly, Jack decides to randomly select 24 chocolates from the box and arranges them in a heart shape on the table. Please use this information to answer the following questions. a. What is the probability that Jack's selection of candies contains exactly 7 candies that are plain chocolate? Answer:

Round to at least FOUR digits after the decimal if necessary. b. What is the probability that Jack's selection of candies contains at least 5 candies that are plain chocolate? Answer:

Round to at least FOUR digits after the decimal if necessary.