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1. |
A home security company offers a security system that uses the numbers 0 through 6, inclusive, for a 3-digit security code. How many different security codes are possible if no digit may be repeated? |
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A. |
120 |
B. |
35 |
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C. |
20 |
D. |
210 |
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Hint |
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2. |
Find the number of five-letter patterns that can be formed using the letters of the word motto. |
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A. |
120 |
B. |
15 |
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C. |
60 |
D. |
30 |
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Hint |
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3. |
A bag contains 2 yellow, 4 blue, and 3 white marbles. What is the probability that a marble selected at random will not be blue? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Determine the probability of choosing a penny or a nickel from 7 pennies, 2 nickels and 5 dimes. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
A card is chosen at random from a standard deck of cards. Determine the probability of choosing a red card, given that the card is an ace. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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6. |
In Mr. Jonas' homeroom, 70% of the students have brown hair, 25% have brown eyes, and 5% have both brown hair and brown eyes. A student is excused early to go to a doctor's appointment. If the student has brown hair, what is the probability that the student also has brown eyes? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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7. |
Determine the probability of getting exactly 2 heads if 4 fair coins are tossed. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Francis guesses at all 6 true/false questions in a trivia game. What is the probability that he guesses correctly on at least 5 of the questions? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Using a standard deck of cards, how many 7-card hands are possible that have 4 queens, 2 jacks, and the King of spades? |
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A. |
64 |
B. |
6 |
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C. |
24 |
D. |
16 |
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Hint |
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10. |
Xander has four $1 bills, four $5 bills, and two $10 bills in his wallet. How many different arrangements are possible if he removes one bill at a time from his wallet? |
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A. |
1,152 |
B. |
3,628,800 |
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C. |
6,300 |
D. |
3,150 |
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Hint |
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11. |
The probability of winning a chess match over a certain opponent is  . What are the odds of losing the chess match? |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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12. |
Find the probability of choosing either a blue ball or a green ball from a bag containing 3 blue, 5 green, 1 red, and 7 yellow balls. |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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