Salespersons Adams and Jones call on three and four customers, respectively, on a given day. Adams could make
0, 1, 2, or 3 sales, whereas Jones could make 0, 1, 2, 3, or 4 sales. The sample space listing the number of possible sales for each person on a given day is shown in the table. (3, 1 stands for 3 sales by Jones and 1 sale by Adams.)

Assume that each sample point is equally likely. Consider these events:
A: At least one of the salespersons made no sales.
B: Together they made exactly three sales.
C: Each made the same number of sales.
D: Adams made exactly one sale.
Find the probabilities by counting sample points:

Are the following pairs of events mutually exclusive?
Explain.
o. A and B
p. B and C
q. B and D
Are the following pairs of events independent? Explain.xx
r. A and B
s. B and C
t. B and D

Transcribed Image Text:

0123 0-23 2-3333 0-23 ne-22222 0123 0123 AO123 a. P(A) d. PD) g. PA or B) . P(B or C) i. P(AIB) j P(B|D) k. P(CIB) m. P(CA P(A or B or C) b. P(B) c. P(C) e. P(A and B) f P(B and C) I. P(BA)