10.5-10.7 Practice Sequence and Series PDF

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Worksheets on the various topics presented. This has the intro to arithmetic and geometric...

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Pre-Calculus Sections 10.5-10.7 Review Evaluate the given binomial coefficient. 10 1) 5

2)

9 6) (x2 + y4 ) ; 6th term

Solve the problem. 7) A restaurant offers a choice of 4 salads, 7 main courses, and 4 desserts. How many possible 3-course meals are there?

10 10

Use Pascal's Triangle or the Binomial Theorem to expand the binomial and express the result in simplified form. 3) (4x + 2)3

8) There are 5 roads leading from Bluffton to Hardeeville, 5 roads leading from Hardeeville to Savannah, and 5 roads leading from Savannah to Macon. How many ways are there to get from Bluffton to Macon?

4) (x - 9y)5 9) A student must choose 1 of 4 science electives, 1 of 6 social studies electives, and 1 of 4 language electives. How many possible course selections are there?

Find the term indicated in the expansion 5) (2x + 3)5; 5th term

1

14) A church has 6 bells in its bell tower. Before each church service 4 bells are rung in sequence. No bell is rung more than once. How many sequences are there?

Use the formula for nPr to evaluate the expression. 10) 9 P5

Solve the problem. 11) How many 4 -letter codes can be formed using the letters A, B, C, D, E, and F? No letter can be used more than once.

Use the formula for nCr to evaluate the expression. 15) 10C4

Solve the problem. 16) A stack of 7 different cards are shuffled and spread out face down. If 5 cards are turned face up, how many different 5-card combinations are possible?

12) In how many ways can Susan arrange 8 books into 3 slots on her bookshelf?

13) A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 12 members and any member can be elected to each position? No person can hold more than one office.

17) In a student government election, 5 seniors, 3 juniors, and 2 sophomores are running for election. Students elect four at- large senators. In how many ways can this be done?

2

18) Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his selection? How many ways can he make his selection if he decides that one of the books is a must?

Find the probability. 21) A bag contains 2 red marbles, 5 blue marbles, and 3 green marbles. What is the probability of choosing a blue marble when one marble is drawn?

Solve the problem. Round to the nearest hundredth of a percent if needed. 19) In 1999 the stock market took big swings up and down. A survey of 1006 adult investors asked how often they tracked their portfolio. The table shows the investor responses. What is the probability that an adult investor tracks his or her portfolio daily? How frequently? Response Daily 220 Weekly 274 Monthly 297 Couple times a year 148 Don't track 67

22) Two 6- sided dice are rolled. What is the probability the sum of the two numbers on the die will be 6?

23) A bag contains 19 balls numbered 1 through 19. What is the probability of selecting a ball that has an even number when one ball is drawn from the bag?

20) During July in Jacksonville, Florida, it is not uncommon to have afternoon thunderstorms. On average, 11.1 days have afternoon thunderstorms. What is the probability that a randomly selected day in July will not have a thunderstorm?

24) A lottery game contains 24 balls numbered 1 through 24. What is the probability of choosing a ball numbered 25?

25) What is the probability that a card drawn from a deck of 52 cards is not a 5?

3

31) A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 6?

26) A bag contains 26 marbles, of which 4 are blue and 9 are green. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?

32) If two 8 - sided dice are rolled what is the probability that both numbers will be even?

27) Give the probability that the roll of a die will show a number less than 6.

33) Two 6- sided dice are rolled. What is the probability that the sum is odd and the number on one of the dice is a 1?

28) 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 7, 9, or 8?

34) A card is drawn from a well-shuffled deck of 52 cards. What is the probability of getting a red 9?

29) A lottery game has balls numbered 1 through 15. What is the probability of selecting an even numbered ball or a 13?

35) Urn A has balls numbered 1 through 7. Urn B has balls numbered 1 through 4. What is the probability that a 4 is drawn from A followed by a 2 from B?

30) A card is drawn from a deck of 52 cards. What is the probability that it is a picture card (Jack, Queen, King) or a spade?

4

Answer Key Testname: 10.4-10.7 PRACTICE

1) 252 2) 1 3) 64x3 + 96x2 + 48x + 8 4) x 5 - 45x4y + 810x3y 2 - 7290x2 y3 + 32,805xy4 - 59,049y5 5) 810x 6) 126x8y 20 7) 112 possible meals 8) 125 ways 9) 96 course selections 10) 15,120 11) 360 12) 336 13) 1320 14) 360 15) 210 16) 21 17) 210 18) 126; 70 19) 21.87% 20) 64.19% 1 21) 2 22)

5 36

23)

9 19

24) 0 12 25) 13 26)

11 13

27)

5 6

28)

3 10

29)

8 15

30)

11 26

31)

2 13

32)

1 4

33)

1 6

34)

1 26

35)

1 28

5...