In how many ways can a student choose to answer 7 out of 10 questions on an exam
ID: 3084616 • Letter: I
Question
In how many ways can a student choose to answer 7 out of 10 questions on an exam?
A)21 B)120 C)10,000,000 D)720
The Amboy Kennel Club has held an annual dog show for the last 42 years. During this time the winner of "Best of Show" has been an Alaskan Malamute 21 times, a Great Pyrenees 3 times, and an Siberian Husky 18 times.
10. Determine the empirical probability that the next winner of "Best of Show" will be an Alaskan Malamute.
A)1/2 B)1 C)5/8 D) 1/14
11. The odds against Carl beating his friend in a round of golf are 7:2. Find the probability that Carl will beat his friend.
A)2/9 B)2/7 C)1/5 D) 7/9
12. In how many ways can 4 different letters chosen from the word PAYMENT be arranged?
A)210 B) 28 C) 420 D) 840
13. A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. What is the probability that you took at least 1 lemon candy?
A)0.1515 B)0.3362 C)0.4909 D) 0.5758
14. How you would find the empirical probability of rolling a 3 on a die?
A) The empirical probability cannot be determined.
B) Roll a die 6 times and then find the relative frequency of rolling a 3. The relative frequency would be obtained by dividing the number of times a 3 has occurred by 6.
C) Roll a die many times and then find the relative frequency of rolling a 3. The relative frequency would be obtained by dividing the number of times a 3 has occurred by the total number of times the die was tossed.
D) Roll a die 1 time and then find the relative frequency of rolling a 3. The relative frequency would be obtained by dividing the number of times a 3 has occurred by 1.
15. A card is drawn at random from a well-shuffled, standard 52 -card deck. Find the probability that the card is neither an ace nor a heart.
A)35/52 B)21/26 C)9/13 D) 4/13
16. A battery company has found that the defective rate of its batteries is 0.03. Each day, it tests 22 batteries at random. What is the probability that exactly 1 of them is found to be defective?
A)0.118 B)0.110 C)0.614 D) 0.348
17. A family has five children. The probability of having a girl is . What is the probability of having at least 4 girls?
A)0.1875 B) 0.3125 C) 0.1563 D) 0.0313
Explanation / Answer
A)21 C)5/8 C)1/5