| |
| |
1. |
In a college of 1000 girls, the dean wanted to choose a sample of 30 girls to represent the whole school. She wanted to determine average height. Which survey would get the best results? |
| |
|
A. |
Choose 30 girls on the basketball team. |
B. |
Choose every third girl out of 100 randomly selected names. |
| |
|
C. |
Choose 30 girls in the cafeteria at noon. |
D. |
Choose 30 gymnasts at the school. |
| |
|
Hint |
|
| |
2. |
A pin is dropped at random onto the square below. The point of the pin lands on one of the small regions. What is the probability that the point lands inside a red area? |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
A history teacher has a stack of four different books. How many ways can these books be stacked? |
| |
|
A. |
4 |
B. |
48 |
| |
|
C. |
12 |
D. |
24 |
| |
|
Hint |
|
| |
4. |
How many ways can a committee of 2 girls and 1 boy be formed from a class of 13 girls and 7 boys? |
| |
|
A. |
1,092 |
B. |
546 |
| |
|
C. |
169 |
D. |
91 |
| |
|
Hint |
|
| |
5. |
There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting 2 blue marbles. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
If you roll a number cube 12,000 times, predict the number of times you would roll a 6. |
| |
|
A. |
3,000 |
B. |
1,000 |
| |
|
C. |
6,000 |
D. |
2,000 |
| |
|
Hint |
|
| |
7. |
Over the last 10 years, the probability that corn seeds planted by Mr. Johannes produce corn is . This probability is an example of _________. |
| |
|
A. |
a theoretical probability |
B. |
both |
| |
|
C. |
an experimental probability |
D. |
neither |
| |
|
Hint |
|
| |
8. |
A coin is weighted so that the probability of its landing heads is 0.6. If the coin is tossed twice, find the probability of getting two heads. |
| |
|
A. |
0.36 |
B. |
0.24 |
| |
|
C. |
0.16 |
D. |
0.08 |
| |
|
Hint |
|
| |
9. |
How many outcomes are possible from choosing a card from a standard deck of playing cards, rolling a die, and tossing a coin? |
| |
|
A. |
208 |
B. |
624 |
| |
|
C. |
312 |
D. |
60 |
| |
|
Hint |
|
| |
10. |
How many different 5-card hands can be drawn from a standard deck of 52 playing cards? |
| |
|
A. |
260 |
B. |
62,375,040 |
| |
|
C. |
5,197,920 |
D. |
2,598,960 |
| |
|
Hint |
|
| |
11. |
Out of 570 jellybeans, 120 are yellow. What is the probability that a jellybean picked at random is not yellow? |
| |
|
A. |
|
B. |
|
| |
|
C. |
|
D. |
|
| |
|
Hint |
|
| |
12. |
Marcus can buy a white or gray sweatshirt in size medium or large. Which tree diagram represents the situation? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
13. |
Consider all of the six-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6 where no digit is used twice. Find the probability that one of these numbers picked at random is between 100,000 and 300,000. |
| |
|
A. |
24% |
B. |
33 % |
| |
|
C. |
40% |
D. |
16 % |
| |
|
Hint |
|
| |
14. |
To determine what people think about the construction of a new school, the school board asks citizens to call a certain number and express their opinions. Describe the sample used by the school board. |
| |
|
A. |
The sample is biased because it is a convenience sample. |
| |
|
B. |
The sample is unbiased because it is a simple random sample. |
| |
|
C. |
The sample is unbiased because it is a systematic random sample. |
| |
|
D. |
The sample is biased because it is a voluntary response sample. |
| |
|
Hint |
|
|
|