7. An urn contains 10 blue balls and 6 red balls. 5 balls are randomly drawn from the urn without replacement. The number of red balls in the sample is recorded.

(a) What probability distribution is appropriate to model this stage of the experiment? Make sure to specify the parameters of the distribution.

If the number of red balls drawn is less than or equal to 2, then a fair coin is flipped 4 times. The number of heads obtained is recorded.

(b) Given that the number of red balls drawn is less than or equal to 2, what probability distribution is appropriate to model this stage of the experiment? Make sure to specify the parameters of the distribution.

If the number of red balls drawn is greater than 2, a fair die is rolled and its outcome is recorded.

(c) What are the 33 sample points of this experiment (include the information given in parts b and c).