Honors Discrete 3Rd Quarter Test

Honors Discrete Practice Multiple Choice

CHAPTER 15: COUNTING, PROBABILITY, AND ODDS

Pick the MOST ACCURATE Answer Choice

For Questions #1 - 3: A license plate consists of any three capital letters (A to Z) followed by any five numbers (0 to 9).

1)How many different license plates are possible?

A) 263 *105B) 368C) 265 * 103D) 523 * 105

2)How many different license plates have no repeated characters?

A) 52*51*50*10*9*8*7*6B) 62*61*60*59*58*57*56*55

C) 26*25*24*10*9*8*7*6D) 26*25*24*23*105

3)How many different license plates start with an “A” and end with an odd number?

A) 1*51*50*9*8*7*6*5B) 1*522*104*5

C) 1*25*24*9*8*7*6*5D) 1*262*104*5

For Questions #4-7: A password consists of 9 characters. A character is any letter (A through Z) or digit (0 through 9) which is case sensitive.

4)How many different passwords are possible?

A) 369B) 529 + 109C) 629D) 529 * 109

5)How many different passwords do not contain a 4?

A) 619B) 359C) 529 + 99D) 269 + 99

6)How many different passwords contain only letters?

A) 369B) 529 C) 629D) 269

7)How many different passwords contain exactly six 4’s and three B’s?

A) 6C4*3C2B) 9C6*9C3C) 9C6*3C3D) 10C6*52C3

For # 8 - 9 : Four Seniors, Three Juniors, and TwoSophomores are waiting in line to pay their AP Fees at the main office .

8)How many different ways could these students wait in line?

A) 24B) 288C) 387,420,489 D) 362,880

9)How many unique ways could these students wait in line if the sophomores were last two students in line?

A) 10,080B) 144C) 9,565,938D) 362,880

10)How many more ways can 10 juniors running for the positions of president,vice president, secretary, and treasurer be selected when compared to12 sophomores running for 5 identical positions of class representative?

A) 94,830B) 11,628C) 4,320D) 4,248

11)A starting line for a hockey team should consist of 3 offensive players, 2 defensive players, and 1 goaltender. A coach has 11 offensive players, 6 defensive players, and 2 goaltenders from which to choose the starting line. How many unique starting lines can the coach create?

A) 132B) 792C) 4,950D) 59,400

12)A starting line for a basketball team should consists of a center, power forward, small forward, shooting guard, and point guard. The basketball team consists of 4 guards, 4 forwards, and 2 centers. How many unique starting lineups can begin a game?

A) 288B) 792C) 72D) 30,240

For Questions # 13 - 15: Suppose a fair coin is flipped 6 times and it is recorded whether the coin lands heads or tails.

13)What is the size of this sample space?

A)720B) 30C) 15D) 64

14)What is the probability of getting exactly 4 heads?

A) B) C) D)

15) What is the probability of getting at least 4 tails?

A) B)

C) D)

For #16 - 19: Suppose 2 cards are drawn out of a standard deck of cards without replacement.

16)What is the size of this sample space?

A) 2704B) 2652C) 1326D) 252

17)What is the probability of getting a pair of fours?

A)B) C) D)

18) What is the probability of getting queen and king?

A) B) C) D)

19)What is the probability of getting a flush (2 of the same suit)?

A)B) C) D)

For #20 – 22: If the probability of giving birth to a boy is 0.52

20)What is the approximateprobability of giving birth to four consecutive boys?

A) 0.021B) 0.062C) 0.073D) 0.130

21)What is the approximateprobability of giving birth to four consecutive girls?

A) 0.48B) 0.053C) 0. 2304D) 0.111

22) What is the approximateprobability of giving birth to exactly two boys?

A) 0.2704B) 0.062C) 0. 375D) 0.374

For # 23 – 24: Abby took an 8-question multiple-choice quiz. Suppose that her probability of correctly answering any question is 0.75.

23)What is Abby’s probability of incorrectlyanswering exactly two questions on the quiz?

A) 0.089B) 0.240C) 0.311D)0.623

24)What is Abby’s probability of correctly answering exactly half of the quiz questions?

A) 0.087B) 0.012C) 0.316D) 0.75

25)Given the probability of winning a game is 66%, what are the odds for winning?

A) 17 to 50B) 33 to 17C) 17 to 33D) 50 to 17

26)Given the probability of winning a game is 23%, what are the odds against winning?

A) 23 to 77B) 23 to 100C) 100 to 23D) 77 to 23

27)Given the odds against a runner winning a race is 5 to 4, what is the probability for the runner winning?

A)B) C) D)

28)Given the odds of a basketball team winning a tournament is 7 to 9, what is the probability for the basketball team not winning?

A)B) C) D)

HONORS DISCRETE PRACTICE MULTIPLE CHOICE

Chapter 15 SOLUTIONS

CHAPTER 15