1) A six-sided die is rolled. Find the probability that the die showed a 4.

2) Stephane has a bowl that contains 5 red candies and 3 blue candies.

If Rosa reaches blindly into Stephane's bowl of candies to remove a single piece of candy, calculate the probability that the candy is blue.

3)Continuing with the scenario in question 2) above, let's say Rosa blindly takes out a piece of candy and shows it to Stephane before placing it back into the bowl. Then Rosa repeats this process with a second piece of candy. What is the probability that Stephane was shown 2 pieces of blue candy? (HINT: it might help to write out all the possible outcomes i.e., sample space)