(1) There are 100 Starburst candies in a bag: 25 each of orange, red, pink, and yellow. (a) How many ways can 20 people pick a single Starburst from

(1) There are 100 Starburst candies in a bag: 25 each of orange, red, pink, and yellow.

(a) How many ways can 20 people pick a single Starburst from the bag? (We can distinguish between the 4 colors, but not between individual Starbursts of one color.)

(b) How many ways can those 20 people pick Starburst so that the first 5 people all get red?

(c) Consider P(the first 5 people get red).

1. Calculate this probability using the multiplication rule for probability

2. Now calculate this probability using your results from parts (a) and (b).

3. Why are the two different, and which on is correct?