Part One: Probability

Case Study #1.13

Conditional Probability

Case Description: Compute conditional probabilities for pairs of draws (without replacement).

Here is our bowl, in tabular form:

Color	# in Bowl	Proportion of Bowl
Blue	5	0.56
Green	3	0.33
Red	1	0.11
Total	9	1.00

Suppose that on each trial of this experiment that we make two (2) draws without replacement from the bowl.

Case Objectives:

Compute Pr{ green shows 2^nd | red shows 1^st };

Compute Pr{ red shows 2^nd | red shows 1^st };

Compute Pr{ blue shows 2^nd | blue shows 1^st }.