# Question: Salespersons Adams and Jones call on three and four customers

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

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

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