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Honors Unit 12 Review- Probability

Total questions: 37

Worksheet time: 32mins

Name
Class
Date
1.

Five hundred boys, including Josh and Sokka, entered a drawing for two football game tickets.  What is the probability, as a simplified fraction, that the tickets were won by Josh and Sokka?

(a)  

2.

Nia and Chad are going to a concert with their high school’s key club.  If they choose a seat on the row below at random, what is the probability, as a simplified fraction, that Chad will be in seat C11 and Nia will be in C12?

(a)  

3.

A high school performs a production of A Raisin in the Sun with a freshman English class of 18 students.  If the three members of the crew are decided at random, what is the probability, as a simplified fraction, that Chase, Jaden, and Emelina are selected for lighting, props, and spotlighting, respectively?

(a)  

4.

In a bag of 3 green marbles and 4 blue marbles, a blue marble is drawn and not replaced.  Then, a second blue marble is drawn. Find the probability of getting 2 blue marbles. Show the answer in simplified fraction.

(a)  

5.

Use the spinner and the number cube shown in the picture to answer the question.  What is the probability of spinning 3 and rolling an even number? Write the answer in simplified fraction.

(a)  

6.

A die is rolled.  If the number rolled is greater than 2, find the probability, as a simplified fraction, that it is a 6.

(a)  

7.

A coin is tossed and a die is rolled. Find the probability, as a simplified fraction, of

tossing heads and a rolling a 6.

(a)  

8.

Find the probability of a point chosen at random being in the shaded area to the nearest hundredth.

a)

0.47

b)

0.32

c)

3.13

d)

0.65

9.

Find the probability, as a simplified fraction, of a point chosen at random NOT being in the shaded area of the diagram at the right.

(a)  

10.

You are designing a target that is a small square inside a larger square(with side lengths of 24 inches).  Find the length of one side of the small square if the probability of landing in the small square is 4/9.

 

(a)  

11.

Is the following event dependent or independent?

"Jeremy took the SAT on Saturday and scored 1950.  The following week he took the ACT and scored 23."

a)

Dependent

b)

Independent

12.

Is the following event dependent or independent?

"An ace is drawn, without replacement, from a deck of 52 cards.  Then, a second ace is drawn."

a)

Dependent

b)

Independent

13.

Is the following event dependent or independent?

"In a game, you roll an even number on a die and then spin a spinner numbered 1 through 5 and get an odd number."

a)

dependent

b)

independent

14.

Is the following event dependent or independent?

"In a bag of M&M, there are 3 pieces of green M&M, 7 pieces of orange M&M and 5 pieces red M&M. Emma draws a piece of orange M&M at random and eats it, then she draws a piece of green M&M at random and eats it."

a)

Dependent

b)

Independent

15.

In a bag of 6 green balls, 2 blue balls and 8 red balls, a green ball is drawn and put back, then a second green ball is drawn. Find the probability of getting two green balls. Show answer in simplified fraction.

(a)  

16.

A passcode is created by random picking letters from alphabet. If repeated letters are allowed in the passcode, find the probability of creating a passcode "RED". Show answer in simplified fraction.

(a)  

17.

What is the probability, as a simplified fraction, that a randomly selected permutation of the letters A, A, B, C, S, U would spell “abacus”?

(a)  

18.

Jonas rolls a die two times. What is the probability, as a simplified fraction, that he rolls an even number and then a number bigger than 4?

(a)  

19.

A password is created randomly. If no repeats are allowed, find the probably of creating a passcode "4509". Show answer in simplified fraction.

(a)  

20.

In a box of 7 green apples, 5 red apples and 9 yellow apples, a green apple is first drawn and put back, then a red apple is drawn. Find the probability of getting the green apple. Also find the probability of getting the red apple.  Show answer in simplified fraction.

a)

Green: 1/3

Red: 1/4

b)

Green: 3/7

Red: 1/4

c)

Green: 1/3

Red: 5/21

d)

Green: 3/7

Red: 1/3

21.

Find the probability, as a simplified fraction, that a point chosen at random lies in the shaded region.

(a)  

22.

Find the probability, to the nearest percent, that a point chosen at random does NOT lies in the shaded region.

a)

46%

b)

54%

c)

28%

d)

62%

23.

A club has 14 members. It has to send a delegation of 5 members to represent them at a particular event. In how many ways can the group of 5 people be selected?

(a)  

24.

There are 15 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer. How many ways the jobs are selected?

(a)  

25.

In the library, Jaiden found 12 books of interest, but he can only borrow 8 books. How many selections can Jaiden make?

(a)  

26.

A red marble is selected at random from a bag of 2 blue and 9 red marbles and not replaced.  What is the probability, as a simplified fraction, that a second marble selected will be red?

(a)  

27.

In a box of 7 fiction books and 12 non-fiction books, two books will be picked at random. Find the probability that fiction books will NOT be chosen.

a)

3557\frac{35}{57}

b)

110\frac{1}{10}

c)

2257\frac{22}{57}

d)

1957\frac{19}{57}

28.

Jonas rolls a die three times. What is the probability, as a simplified fraction, that three times in a row, he rolls a number bigger than 4?

(a)  

29.

Use the spinner to find the probability that the pointer does not land on green. Round the answer to the nearest percent.

a)

31%

b)

69%

c)

77%

d)

74%

30.

Use the spinner to find the probability that the pointer lands on neither yellow nor blue. Round to the nearest percent.

a)

36%

b)

57%

c)

51%

d)

64%

31.

When rolling a die, find the probability of rolling a number bigger than 2 or an even number? Show the answer in simplified fraction.

(a)  

32.

When rolling a die, find the probability of rolling a number bigger than 2 and an even number. Show the answer in simplified fraction.

(a)  

33.

The Venn diagram show the survey data of whether students have dog or cat in their house. 45 students participated the survey. D represents the set of students who have dog(s) in their house. C represents the set of students who have cat(s) in their house. Find the probability that a randomly selected student will have cat(s) given that he/she has dog(s). Show the answer in simplified fraction.

(a)  

34.

3 students are randomly selected from a club of 8 students to do a presentation at a school event. Find the probability that Jayden is NOT selected. Show the answer in simplified fraction.

(a)  

35.

The Venn diagram show the survey data of whether students have dog or cat in their house. 45 students participated the survey. D represents the set of students who have dog(s) in their house. C represents the set of students who have cat(s) in their house.

Find the probability that a student has cat(s) or dog(s) in his or her house. Show the answer in simplified fraction.

(a)  

36.

The Venn diagram show the survey data of whether students have dog or cat in their house. 45 students participated the survey. D represents the set of students who have dog(s) in their house. C represents the set of students who have cat(s) in their house.

Find the probability that a student has cat(s) and dog(s) in his or her house. Show the answer in simplified fraction.

(a)  

37.

Find the probability, to the nearest percent, that a point chosen at random lies in the shaded region.

(a)