Assorted Candies I: you are tidying up after a party, and find a bag of assorted candies. The only pieces left in the bag are 7 Almond Joy and 13 Twizzlers.

(a) You pick a candy at random. What is the probability that you get an Almond Joy?

(b) You like neither Twizzlers nor Almond Joy, so you return your piece to the bag to try again. You try a total of five times, and return the piece to the bag every time. What are the probabilities that you got Almond Joy 0, 1, 2, 3, 4, and 5 times, respectively.

(c) Later in the morning, you are so hungry you’ll eat even Almond Joy and Twizzlers, so you pick 5 and eat. What are the probabilities that you ate respectively 0, 1, 2, 3, 4, or 5 Almond Joy?