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1. |
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 blue region? |
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A. |
0 |
B. |
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C. |
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D. |
1 |
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2. |
A restaurant offers a choice of four types of pasta with two types of sauce. Each pasta entrée comes with or without a meatball. How many possible entrées are there? |
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A. |
16 |
B. |
24 |
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C. |
8 |
D. |
12 |
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3. |
A history teacher has a stack of four different books. How many ways can these books be stacked? |
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A. |
24 |
B. |
4 |
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C. |
48 |
D. |
12 |
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4. |
How many different ways can you arrange the letters in the word compare? |
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A. |
7! |
B. |
5! |
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C. |
4! |
D. |
6! |
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5. |
How many ways can a committee of 2 girls and 1 boy be formed from a class of 13 girls and 7 boys? |
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A. |
546 |
B. |
91 |
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C. |
169 |
D. |
1,092 |
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6. |
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. |
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A. |
0.08 |
B. |
0.16 |
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C. |
0.24 |
D. |
0.36 |
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7. |
A card is drawn at random from a standard deck of 52 playing cards. What is the probability of drawing a Jack, Queen, or King? |
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A. |
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B. |
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C. |
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D. |
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8. |
When randomly drawing from a standard deck of 52 playing cards, what is the probability of drawing a 9 four times in a row if the cards are not replaced? |
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A. |
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B. |
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C. |
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D. |
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9. |
A bag contains 5 green marbles, 4 black marbles, and 2 white marbles. The table shows the results of random drawings of marbles with replacement. What is the theoretical and experimental probability of drawing a black marble? |
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A. |
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B. |
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C. |
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D. |
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10. |
A ‘’word’’ is made up of three letters from a to z chosen at random. What is the probability that the word is cat? |
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D. |
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11. |
There are 20 students in student council. Three of these students are picked to be on a committee to plan the spring dance. Does this represent a combination or a permutation? How many possible committees can be formed? |
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A. |
combination; 6,840 committees |
B. |
combination; 1,140 committees |
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C. |
permutation; 6,840 committees |
D. |
permutation; 1,140 committees |
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Hint |
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12. |
Over the last 6 years, the probability that corn seeds planted by Mrs. Thompson produced corn is . If Mrs. Thompson wants to have 14,000 corn-bearing plants, how many seeds should she plant? |
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A. |
22,0000 seeds |
B. |
16,000 seeds |
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C. |
20,000 seeds |
D. |
18,000 seeds |
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Hint |
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13. |
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. |
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A. |
The sample is unbiased because it is a systematic random sample. |
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B. |
The sample is biased because it is a voluntary response sample. |
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C. |
The sample is unbiased because it is a simple random sample. |
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D. |
The sample is biased because it is a convenience sample. |
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14. |
To determine if a certain assembly line is producing quality radios, an employee checks every thirtieth radio leaving the assembly line. Describe the sample used by the employee. |
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A. |
The sample is unbiased because it is a systematic random sample. |
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B. |
The sample is biased because it is a convenience sample. |
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C. |
The sample is unbiased because it is a stratified random sample. |
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D. |
The sample is biased because it is a voluntary response sample. |
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Hint |
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