
Directions: Read carefully. Choose the best answers.
1. 
A pair of dice is rolled. Two possible events are rolling a number greater than 8 and rolling an even number. Are these two events mutually exclusive events?
Choose:




2. 
A pair of dice is rolled. Two possible events are rolling a number less than 5 and rolling a number which is a multiple of 5. Are these two events mutually exclusive?
Choose:




3. 
A pair of dice is rolled. A possible event is rolling a multiple of 5. What is the probability of the complement of this event?
Choose:




4. 
A pair of dice is rolled. Two possible events are rolling a number which is a multiple of 3 and rolling a number which is a multiple of 5. Are these two events mutually exclusive?
Choose:



5. 
A pair of dice is rolled and the resulting number is odd. Which of the following events is the complement of this event? 

1. A number greater than 8 is rolled.
2. An even number is rolled.
3. A number less than 5 is rolled.
4. A multiple of 5 is rolled.
Choose:



6. 
A paper bag contains 15 slips of paper. Eight of them are blue and are numbered from 1 to 8. Seven of them are red and are numbered from 1 to 7. 
a) 
What is the probability of drawing a slip of paper with an even number? 

Choose:




b) 
A slip is drawn from the bag and then replaced. A second slip is drawn. Are these two events independent? 

Choose:




c) 
A possible event is that a blue slip is chosen. What is the probability of the complement of this event? 

Choose:




d) 
You wish to draw a blue slip on the first draw and a red slip on the second draw. The first slip is NOT replaced after being drawn. Are these events independent? 

Choose:



7. 
Juan spins the spinner shown below. He notes the area on which the arrow stops, and then spins it a second time. Find the probability that the outcome of the two spins is:
a) red both times
b) white first, blue second
c) white first, red second
d) not blue both times



8. 
A sack contains marbles of three different colors: 8 black, 6 white, and 4 red. Three marbles are selected at random, without replacement. Find the probability that the selection contains each of the outcomes listed below. Express the answer as a decimal to the nearest hundredth.

a) three black marbles
b) three white marbles
c) one white marble followed by two black marbles
d) a red, a black and a white marble, in that order
e) a red marble and two white marbles, in any order




9. 
Given events A and B, such that P( A) = 0.6,
P( B) = 0.5, and P( A∪ B) = 0.8. Determine whether A and B are independent or dependent.
Choose:




10. 
Students were surveyed as to which hand was used predominantly for writing. The choices were lefthand, righthand, or ambidextrous (both hands used equally).
MathBits 
Hand Used for Writing 
Gender 
Left 
Right 
Both 
Male 
15 
70 
9 
Female 
10 
90 
6 
For the students surveyed, does this data suggest that gender and preferred writing hand are independent of each other?
Choose:


11. 
Stephie plans to jog tomorrow. She chooses the lake path 50% of the time. There is a 30% chance of rain during her jog tomorrow. If the probability that it rains given that Stephie jogs the lake path is 30%, it can be concluded that these two events are:
Choose:




12. 
A survey asked 150 high school seniors to choose their favorite activity from the choices of snowmobiling, water skiing, and snow skiing.
MathBits 
Favorite Activity

Gender 
snowmobiling 
water skiing 
snow skiing 
Total 
Male 
50 
45 
60 
155 
Female 
30 
50 
90 
170 
Total 
80 
95 
150 
325 
Are the events "student is a male" and "student prefers snowmobiling" independent of each other?
Choose:


NOTE: The reposting of materials (in part or whole) from this site to the Internet
is copyright violation
and is not considered "fair use" for educators. Please read the "Terms of Use". 
