Precalc Quiz and discussion

Week 7 "Probability" Take Test: W7 Quiz H

Take Test: W7 Quiz Take Test: W7 Quiz

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 Solve the problem. Suppose that the sample space is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and that outcomes are equally likely. Compute the probability of the event E: "a number divisible by 3".

3

QUESTION 1 4 points Save AnswerSave Answer

 Solve the problem. How many 6-letter codes can be formed using the letters A, B, C, D, E, F, G, H, and I. Repeated letters are allowed.

531,441 10,077,696

QUESTION 2 4 points Save AnswerSave Answer

??

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60,480

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Solve the problem. A committee is to be formed consisting of 5 men and 6 women. If the committee members are to be chosen from 8 men and 9 women, how many different committees are possible?

140 4704 12,376 406,425,600

QUESTION 3 4 points Save AnswerSave Answer

 Solve the problem. How many different license plates can be made using 3 letters followed by 3 digits selected from the digits 0 through 9, if letters and digits may be repeated?

36 260 17,576,000 9

QUESTION 4 4 points Save AnswerSave Answer

 Solve the problem. How many arrangements of answers are possible in a multiple-choice test with 7 questions, each of which has 3 possible answers?

840 210 35 2187

QUESTION 5 4 points Save AnswerSave Answer

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Solve the problem. Mary finds 9 fish at a pet store that she would like to buy, but she can afford only 5 of them. In how many ways can she make her selection? How many ways can she make

QUESTION 6 4 points Save AnswerSave Answer

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7560; 840 126; 70 3024; 1680

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Solve the problem. An exam consists of 9 multiple-choice questions and 6 essay questions. If the student must answer 5 of the multiple-choice questions and 3 of the essay questions, in how many ways can the questions be chosen?

810 2520 261,273,600 1,814,400

QUESTION 7 4 points Save AnswerSave Answer

Solve the problem.Find the probability of having 4 girls in a 4-child family. QUESTION 8 4 points Save AnswerSave Answer

 Solve the problem. How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0? No digit can be used more than once.

302,400 5040 151,200 210

QUESTION 9 4 points Save AnswerSave Answer

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4 3024 6561 126

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 Solve the problem. A lottery game has balls numbered 1 through 19. What is the probability of selecting an even numbered ball or a 7?

QUESTION 11 4 points Save AnswerSave Answer

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Solve the problem. How many different license plates can be made using 3 letters followed by 3 digits selected from the digits 0 through 9, if digits may be repeated but letters may not be repeated?

12,654,720 17,576,000 15,600,000 3095.2381

QUESTION 12 4 points Save AnswerSave Answer

Solve the problem.In how many ways can 7 people each have different birth months? 84 35,831,808 3,991,680 792

QUESTION 13 4 points Save AnswerSave Answer

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Solve the problem. How many 5-card poker hands consisting of three 10's and two cards that are not 10's are possible in a deck?

4512 5304 2256 2652

QUESTION 14 4 points Save AnswerSave Answer

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Solve the problem. How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 6 forwards, 8 midfield players, and 8 defensive players?

646,646 78,400 67,737,600 146

QUESTION 15 4 points Save AnswerSave Answer

 Solve the problem. How many different license plates can be made using 3 letters followed by 4 digits selected from the digits 0 through 9, if neither letters nor digits may be repeated?

47,174,400 78,624,000 175,760,000 546,000

QUESTION 16 4 points Save AnswerSave Answer

Solve the problem.Find the probability of getting 2 tails when 3 fair coins are tossed. QUESTION 17 4 points Save AnswerSave Answer

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 Solve the problem. How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if the first digit cannot be 0? Repeated digits are allowed.

60,480 272,160 900,000 531,441

QUESTION 18 4 points Save AnswerSave Answer

 Solve the problem. 12 different books are to be arranged on a shelf. How many different arrangements are possible?

239,500,800 39,916,800 479,001,600 12

QUESTION 19 4 points Save AnswerSave Answer

 Solve the problem. A student must choose 1 of 4 mathematics electives, 1 of 5 science electives, and 1 of 9 programming electives. How many possible course selections are there?

20 course selections 360 course selections 180 course selections 18 course selections

QUESTION 20 4 points Save AnswerSave Answer

 Solve the problem. Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 3, 8, or 1?

QUESTION 21 4 points Save AnswerSave Answer

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Solve the problem. Suppose that the sample space is S = and that outcomes are equally likely. Compute the probability of the event E = .

2

QUESTION 22 4 points Save AnswerSave Answer

 Solve the problem. Suppose that the sample space is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and that outcomes are equally likely. Compute the probability of the event E = {1, 2, 4, 5, 7, 9, 10}.

7

QUESTION 23 4 points Save AnswerSave Answer

 Solve the problem. A hot dog stand sells hot dogs with cheese, relish, chili, tomato, onion, mustard, or ketchup. How many different hot dogs can be concocted using any 4 of the extras?

420 35

QUESTION 24 4 points Save AnswerSave Answer

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 Solve the problem. A group of 12 friends goes bowling. How many different possibilities are there for the order in which they play if the youngest person is to bowl first?

12 39,916,800 479,001,600 11

QUESTION 25 4 points Save AnswerSave Answer

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