Computation of Probability by using Tree Diagram

1. A real estate investor has two houses: A and B. Each
house may increase in value, decrease in value, or remain unchanged. Consider
the experiment of investing in the two houses and observing the change (if any)
in value:

a. How many
experimental outcomes are possible?

b. Show a
tree diagram for the experiment.

c. How many
of the experimental outcomes result in an increase in value for at least one of
the two houses?

d. How many
of the experimental outcomes result in a decrease in value for both of the
houses?

2. A student has to take five courses to graduate. If none
of the courses are prerequisites for others, how many groups of two courses can
he or she select for the coming semester?

3. Suppose a salesperson makes a sale on 25 percent of
customer contacts. In a normal work week, the salesperson contacts 30
customers.

a. What is
the probability that the salesperson will make no sales?

b. What is
the probability that the salesperson will make at least two sales?

c. What is
the probability that the salesperson will make two sales at most?

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