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1. |
What is the value of P(8, 4)? |
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A. |
26 |
B. |
70 |
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C. |
1680 |
D. |
6720 |
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Hint |
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2. |
How many different six-letter patterns can be formed from the letters of the word turkey? |
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A. |
30 |
B. |
156 |
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C. |
120 |
D. |
720 |
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Hint |
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3. |
How many different 6-digit numbers can have the digits 6,2,4,4,2, and 6? |
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A. |
360 |
B. |
90 |
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C. |
720 |
D. |
180 |
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Hint |
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4. |
Will has 4 rap, 5 rock, 4 country, and 2 pop CDs. He randomly picks 2 to listen to. Find the probability that he picks 1 rap and 1 rock CD. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Statistics collected in a particular coal-mining region show that the probability that a miner will develop respiratory problems is  . Also, the probability that a miner will develop back problems is  . If one health problem does not affect the other, what is the probability that a randomly selected miner will develop respiratory problems but will not develop back problems? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Which statement is not true for a binomial experiment? |
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A. |
There must be a fixed number of trials. |
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B. |
The outcomes of each trial must be dependent. |
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C. |
The probabilities in each trial must be independent. |
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D. |
Each trial has exactly two outcomes. |
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Hint |
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7. |
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. |
16 |
D. |
24 |
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Hint |
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8. |
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. |
 |
D. |
 |
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Hint |
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9. |
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. |
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B. |
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C. |
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D. |
 |
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Hint |
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10. |
Using a standard deck of 52 cards, find the probability of choosing a 10 given that the card is red. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
In Mrs. Lerman's classroom, 75% of the students wear watches, 30% wear eyeglasses, and 20% wear both watches and eyeglasses. A student is called to the board to explain a concept. If the student wears a watch, what is the probability that the student also wears eyeglasses? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
Kevin has an email account and checks his email several times per day. The probability of Kevin receiving an email from his friends is . Suppose he checks his email 6 times in a day. Find the probability that Kevin gets a message at least 4 of the times he checks his email throughout the day. |
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A. |
0.53962 |
B. |
0.4996 |
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C. |
0.54432 |
D. |
0.5 |
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Hint |
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