Name: 
 

Statistics - Lesson 7 Practice Problems



 

 1. 

The occurrence of the event A has probability of stat_l7_prpblems_files/i0020000.jpg and the occurrence of the event B has the probability of 0.20. Which event is highly possible to occur?

 

 2. 

A circular landscape of radius 15 ft. is surrounded by a rectangular lake measuring 50 ft. by 100 ft.  If a golf ball lands at a random point within the rectangle, what is the probability of landing in the water?

 

 3. 

Inside a rectangular board of the dimensions 12 in. by 16 in., there is a rhombus whose diagonals are 4 in. and 7 in. If a dart thrown toward this board, what is the probability of landing the dart on the rhombus?

(Enter fraction in this format: 2/45)

 

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 4. 

If an employee chosen randomly, what is the probability of being born in spring or winter?
a.
stat_l7_prpblems_files/i0060000.jpg
c.
stat_l7_prpblems_files/i0060001.jpg
b.
stat_l7_prpblems_files/i0060002.jpg
d.
stat_l7_prpblems_files/i0060003.jpg
 

 5. 

In a sample space with 18 elements, the event A with seven members and the event B with eight members have three common members. What is the probability of occurring the eventstat_l7_prpblems_files/i0070000.jpg?
a.
stat_l7_prpblems_files/i0070001.jpg
c.
stat_l7_prpblems_files/i0070002.jpg
b.
stat_l7_prpblems_files/i0070003.jpg
d.
stat_l7_prpblems_files/i0070004.jpg
 

 6. 

If S = {a, b, c, d} is a sample space of an experiment, how many events can this experiment have that are not simple event?

a.
24
c.
8
b.
16
d.
12
 

 7. 

The probabilities of four events are given below. Which event is highly possible to occur?
a.
stat_l7_prpblems_files/i0090000.jpg
c.
stat_l7_prpblems_files/i0090001.jpg
b.
stat_l7_prpblems_files/i0090002.jpg
d.
stat_l7_prpblems_files/i0090003.jpg
 

 8. 

If the probability of observing the event A is stat_l7_prpblems_files/i0100000.jpg, what is the probability of observing the complement of A?
a.
stat_l7_prpblems_files/i0100001.jpg
c.
stat_l7_prpblems_files/i0100002.jpg
b.
stat_l7_prpblems_files/i0100003.jpg
d.
stat_l7_prpblems_files/i0100004.jpg
 

 9. 

The sample space of an experiment has five elements. If P(E) of the event E of this sample is 1, then how many elements are there in the set E?
a.
4
c.
2
b.
0
d.
5
 

 10. 

If the sample space of an experiment has four members, then how many events can have this experiment?
a.
8
c.
24
b.
16
d.
6
 



 
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