Question

Louisa buys a box of candy that consists of five piece of chocolate, six pieces oflicorice, and three pieces of gum . She selects three pieces of candy at random,without replacement.A) Calculate the exact probability that the first piece selected will be licorice and theother two will be chocolate.B) Calculate the exact probability that all three pieces will be the same type of candy.The answer to Part A isThe answer to Part B is

Answer 1

We have the following:

5 pieces of chocolate

6 pieces of licorine

3 pieces of gum

Total = 5+6+3= 14 pieces

Part A

We can do this:

`p=(6)/(14)\cdot(5)/(13)\cdot(4)/(12)=(120)/(2184)=(5)/(91)`

Part B

For this case we can do this: