1. Let A, B, C, D, and E be sample space outcomes forming a sample space. Suppose that P(A) = .2, P(B) = .15, P(C) = .3, and P(D) = .2. What is P(E)? Explain how you got your answer.
CONCEPTS
2. Explain what it means for two events to be mutually exclusive; for N events.
3. If A and B are events, define (in words) A, A U B, A n B, and A n B.
METHODS AND APPLICATIONS
4. Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events:
R = red
B = black
A = ace
N = nine
D = diamond
C = club
a. Describe the sample space outcomes that correspond to each of these events.
b. For each of the following pairs of events, indicate whether the events are mutually exclusive. In each case, if you think the events are mutually exclusive, explain why the events have no common sample space outcomes. If you think the events are not mutually exclusive, list the sample space outcomes that are common to both events.
(1) R and A
(2) R and C
(3) A and N
(4) N and C
(5) D and C