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PROBABILITY Math

Total questions: 61

Worksheet time: 3hrs 3mins

Name
Class
Date
1.

If you rolled a number cube 900 times, predict how many times you would roll a 2 or 5. Select TWO ANSWERS

a)

1/6 of the time

b)

300

c)

1/3 of the time

d)

150

2.

If you rolled a number cube 900 times, predict how many times you would roll a 2. Select TWO ANSWERS

a)

1/6 of the time

b)

300

c)

1/3 of the time

d)

150

3.

If you flipped a coin 200 times, predict how many times you would roll heads. Explain your answer.

a)

100

b)

150

c)

4

d)

6

4.

If you flipped a coin 8 times, predict how many times you would roll heads. Explain your answer.

a)

100

b)

150

c)

4

d)

6

5.

If you flipped a coin 300 times, predict how many times you would roll heads. Explain your answer.

a)

100

b)

150

c)

4

d)

6

6.

Marbles are repeatedly drawn from and replaced back into a bag that contains an unknown number of red, blue, and yellow marbles. There were 40 marbles drawn. 12 red, 24 blue, 4 yellow. In decimal form, what is the probability of randomly selecting each color of marble?

a)

.10 for yellow, .60 for blue, .30 for red

b)

.30 for yellow, .60 for blue, .10 for red

c)

.10 for yellow, .30 for blue, .60 for red

d)

.30 for yellow, .10 for blue, .60 for red

7.

Marbles are repeatedly drawn from and replaced back into a bag that contains an unknown number of red, blue, and yellow marbles. There were 40 marbles drawn. 12 yellow, 24 blue, 4 red. In decimal form, what is the probability of randomly selecting each color of marble?

a)

.10 for yellow, .60 for blue, .30 for red

b)

.30 for yellow, .60 for blue, .10 for red

c)

.10 for yellow, .30 for blue, .60 for red

d)

.30 for yellow, .10 for blue, .60 for red

8.

Marbles are repeatedly drawn from and replaced back into a bag that contains an unknown number of red, blue, and yellow marbles. There were 40 marbles drawn. 12 red, 24 blue, 4 yellow. If 500 marbles are in the bag, predict the number of yellow marbles in the bag.

a)

50

b)

150

c)

300

d)

80

9.

Marbles are repeatedly drawn from and replaced back into a bag that contains an unknown number of red, blue, and yellow marbles. There were 40 marbles drawn. 12 red, 24 blue, 4 yellow. If 500 marbles are in the bag, predict the number of red marbles in the bag.

a)

50

b)

150

c)

300

d)

80

10.

Marbles are repeatedly drawn from and replaced back into a bag that contains an unknown number of red, blue, and yellow marbles. There were 40 marbles drawn. 12 red, 24 blue, 4 yellow. If 500 marbles are in the bag, predict the number of blue marbles in the bag.

a)

50

b)

150

c)

300

d)

80

11.

Marbles are repeatedly drawn from and replaced back into a bag that contains an unknown number of red, blue, and yellow marbles. There were 40 marbles drawn. 12 red, 24 blue, 4 yellow. If 1,200 marbles are in the bag, predict the number of red and blue marbles in the bag.

a)

1,080

b)

120

c)

2,160

d)

60

12.

Marbles are repeatedly drawn from and replaced back into a bag that contains an unknown number of red, blue, and yellow marbles. There were 40 marbles drawn. 12 red, 24 blue, 4 yellow. If 2,400 marbles are in the bag, predict the number of red and blue marbles in the bag.

a)

1,080

b)

540

c)

2,160

d)

60

13.

Marbles are repeatedly drawn from and replaced back into a bag that contains an unknown number of red, blue, and yellow marbles. There were 40 marbles drawn. 12 red, 24 blue, 4 yellow. If 600 marbles are in the bag, predict the number of red and blue marbles in the bag.

a)

1,080

b)

540

c)

2,160

d)

60

14.

Jeff rolled a number cube several times and counted how many times he rolled a 3.

What is the theoretical probability of Jeff rolling a 3 if his number cube is fair?

a)

1/6

b)

1/2

c)

1/3

d)

1/36

15.

Jeff rolled a number cube several times and counted how many times he rolled a 3.

If Jeff rolls the number cube 300 times, how many times should he predict to roll a 3?

a)

50

b)

1/6

c)

150

d)

1/36

16.

How many possible outcomes are there from choosing an outfit from a blue shirt, a red shirt, a yellow shirt, black shorts, tan shorts, a pair of sneakers, and a pair of sandals?

a)

6

b)

16

c)

8

d)

12

17.

How many possible outcomes are there from choosing an outfit from a blue shirt, a red shirt, a yellow shirt, black shorts, tan shorts, white shorts, a pair of sneakers, and a pair of sandals?

a)

6

b)

18

c)

8

d)

12

18.

How many outcomes are there?

a)

8

b)

14

c)

3

d)

4

19.

Kramer is picking out his outfit for the first day of work. He can choose from a blue or white shirt, tan or blue pants, and a red, blue, or striped tie. How many different combinations of outfits does he have to choose from

a)

12

b)

8

c)

6

d)

18

20.

Kramer is picking out his outfit for the first day of work. He can choose from a black , blue or white shirt, tan or blue pants, and a red, blue, or striped tie. How many different combinations of outfits does he have to choose from

a)

12

b)

8

c)

6

d)

18

21.

You are pulling a card from a standard deck of cards:

13 Black Spades, 13 Black Clubs, 13 Red Hearts, 13 Red Diamonds

What is the probability that you pull a diamond or a spade?

a)

likely

b)

unlikely

c)

just as likely as unlikely

d)

certain

22.

You are pulling a card from a standard deck of cards:

13 Black Spades, 13 Black Clubs, 13 Red Hearts, 13 Red Diamonds.

What is the probability that you pull a spade?

a)

likely

b)

unlikely

c)

just as likely as unlikely

d)

certain

23.

You are pulling a card from a standard deck of cards:

13 Black Spades, 13 Black Clubs, 13 Red Hearts, 13 Red Diamonds.

What is the probability that you will pull something else than a spade?

a)

likely

b)

unlikely

c)

just as likely as unlikely

d)

certain

24.

What is the probability of rolling a 4 two times in a row on a fair sided dice?

a)

1/36

b)

1/216

c)

1/8

d)

1/16

25.

What is the probability of rolling a 4 three times in a row on a fair sided dice?

a)

1/36

b)

1/216

c)

1/8

d)

1/16

26.

What is the probability of rolling an even number three times in a row on a fair sided dice?

a)

1/36

b)

1/216

c)

1/8

d)

1/16

27.

What is the probability of rolling an even number four times in a row on a fair sided dice?

a)

1/36

b)

1/216

c)

1/8

d)

1/16

28.

What is the probability of flipping heads on one flip of a fair sided coin AND rolling a 4 on a fair die?

a)

1/12

b)

1/6

c)

2/3

d)

1/4

29.

There are six balls in the bag. Two are basketballs, three are playground balls, and one is a soccer ball. What is the probability that if you pick one of the balls without looking, it will be a soccer ball?

a)

1/6

b)

1/12

c)

1/2

d)

1/3

30.

A deck of cards contains 26 red and 26 black cards. The red cards are divided into 13 hearts and 13 diamonds. The black cards are divided into 13 spades and 13 clubs, and the cards are numbered 2 - 10, Jack, Queen, King, or Ace. When drawing one card from a deck of 52 cards, the probability of drawing a spade is

a)

1/4

b)

1/2

c)

Impossible

d)

Certain

31.

A deck of cards contains 26 red and 26 black cards. The red cards are divided into 13 hearts and 13 diamonds. The black cards are divided into 13 spades and 13 clubs, and the cards are numbered 2 - 10, Jack, Queen, King, or Ace. When drawing one card from a deck of 52 cards, Which word BEST describes the probability of drawing a numbered card from the deck?

a)

likely

b)

unlikely

c)

Impossible

d)

Certain

32.

Jake had a bag of candy with 30 pieces in it. It was divided evenly between Snickers, Milky Way and Hershey's. What is the probability of Jake pulling out a Milky way?

a)

1/3

b)

1/2

c)

1/4

d)

1/12

33.

Jake had a bag of candy with 30 pieces in it. It was divided evenly between Snickers, Milky Way and Hershey's. What is the probability of Jake pulling out a Milky way, not replacing it and pulling out another Milky Way?

a)

1/3

b)

13×929\frac{1}{3}\times\frac{9}{29}

c)

13×13\frac{1}{3}\times\frac{1}{3}

d)

13×1029\frac{1}{3}\times\frac{10}{29}

34.

Jake had a bag of candy with 30 pieces in it. It was divided evenly between Snickers, Milky Way and Hershey's. What is the probability of Jake pulling out a Milky way, replacing it and pulling out another Milky Way?

a)

1/3

b)

13×929\frac{1}{3}\times\frac{9}{29}

c)

13×13\frac{1}{3}\times\frac{1}{3}

d)

13×1029\frac{1}{3}\times\frac{10}{29}

35.

Jake had a bag of candy with 30 pieces in it. It was divided evenly between Snickers, Milky Way and Hershey's. What is the probability of Jake pulling out a Milky way, not replacing it and pulling out a Snickers?

a)

1/3

b)

13×929\frac{1}{3}\times\frac{9}{29}

c)

13×13\frac{1}{3}\times\frac{1}{3}

d)

13×1029\frac{1}{3}\times\frac{10}{29}

36.

Korleah pulled some socks out of a bag. There were 5 yellow , 3 Red, 4 Blue and 10 white socks. What is the likelihood of her pulling out red, not replacing it and then pulling out blue socks?

a)

322×322\frac{3}{22}\times\frac{3}{22}

b)

322×421\frac{3}{22}\times\frac{4}{21}

c)

322×422\frac{3}{22}\times\frac{4}{22}

d)

322×1022\frac{3}{22}\times\frac{10}{22}

37.

Korleah pulled some socks out of a bag. There were 5 yellow , 3 Red, 4 Blue and 10 white socks. What is the likelihood of her pulling out red, replacing it and then pulling out blue socks?

a)

322×322\frac{3}{22}\times\frac{3}{22}

b)

322×421\frac{3}{22}\times\frac{4}{21}

c)

322×422\frac{3}{22}\times\frac{4}{22}

d)

322×1022\frac{3}{22}\times\frac{10}{22}

38.

Korleah pulled some socks out of a bag. There were 5 yellow , 3 Red, 4 Blue and 10 white socks. What is the likelihood of her pulling out red, replacing it and then pulling out white socks?

a)

322×322\frac{3}{22}\times\frac{3}{22}

b)

322×421\frac{3}{22}\times\frac{4}{21}

c)

322×422\frac{3}{22}\times\frac{4}{22}

d)

322×1022\frac{3}{22}\times\frac{10}{22}

39.

Gabrielle has some notebooks in a bag. Two were 1-subject, three were 2-subject and four were 3-subject. What are the chances of her pulling out a 3-subject, not replacing it and then pulling out a 1-subject notebook?

a)

49×43\frac{4}{9}\times\frac{4}{3}

b)

49×19\frac{4}{9}\times\frac{1}{9}

c)

49×14\frac{4}{9}\times\frac{1}{4}

d)

49×49\frac{4}{9}\times\frac{4}{9}

40.

Alexis has some notebooks in a bag. Two were 1-subject, three were 2-subject and four were 3-subject. What are the chances of her pulling out a 3-subject, not replacing it and then pulling out a 1-subject notebook?

a)

13\frac{1}{3}

b)

49\frac{4}{9}

c)

19\frac{1}{9}

d)

12\frac{1}{2}

41.

Calaya has some notebooks in a bag. Two were 1-subject, three were 2-subject and four were 3-subject. What are the chances of her pulling out a 3-subject, replacing it and then pulling out a 1-subject notebook?

a)

13\frac{1}{3}

b)

49\frac{4}{9}

c)

29\frac{2}{9}

d)

881\frac{8}{81}

42.

Krishani has some notebooks in a bag. Two were 1-subject, three were 2-subject and four were 3-subject. What are the chances of her pulling out a 3-subject, replacing it and then pulling out a 2-subject notebook?

a)

1281\frac{12}{81}

b)

49\frac{4}{9}

c)

29\frac{2}{9}

d)

881\frac{8}{81}

43.

Cal'lerya has some notebooks in a bag. Two were 1-subject, three were 2-subject and four were 3-subject. What are the chances of her pulling out a 3-subject, not replacing it and then pulling out a 2-subject notebook?

a)

16\frac{1}{6}

b)

49\frac{4}{9}

c)

38\frac{3}{8}

d)

19\frac{1}{9}

44.

Jillian has some notebooks in a bag. Two were 1-subject, three were 2-subject and four were 3-subject. What are the chances of her pulling out a 2-subject, replacing it and then pulling out a 2-subject notebook?

a)

16\frac{1}{6}

b)

49\frac{4}{9}

c)

38\frac{3}{8}

d)

19\frac{1}{9}

45.

At school there are the same number of boys and girls. A student is chosen at random to raise the flag. How many times is it expected that a boy will raise the flag over 30 days of​ school?

a)

15

b)

4

c)

20

d)

12

46.

At school there are the same number of boys and girls. A student is chosen at random to raise the flag. How many times is it expected that a boy will raise the flag over 40 days of​ school?

a)

15

b)

4

c)

20

d)

12

47.

Kakeen, Zytavious, Nick and Alan

together buy one season ticket to see a basketball team. If there are 68

games ​included, what is the expected amount of games that Alan

should expect to ​see?

a)

17

b)

4

c)

68

d)

20

48.

There is a deck of 70 flashcards and each card has a different number ranging from 1 to 70. Find the theoretical probability of the event when picking from a deck of flashcards.

​P(the number is even​) Simplify your answer

a)

1/2

b)

1/3

c)

1/4

d)

1/5

49.

Find the theoretical probability of the given event when rolling a​ 16-sided game piece. Use pencil and paper.

​P(16​)

a)

1/2

b)

1/16

c)

1/8

d)

1/10

50.

A​ 12-sided solid has faces numbered 1 through 12.

Find the probability of rolling a number greater than 5

a)

7/12

b)

2/3

c)

1/2

d)

1/12

51.

A​ 12-sided solid has faces numbered 1 through 12.

Find the probability of rolling a number greater than 5

a)

7/12

b)

2/3

c)

1/2

d)

1/12

52.

A​ 12-sided solid has faces numbered 1 through 12.

Find the probability of rolling a five or a number greater than 5

a)

7/12

b)

2/3

c)

1/2

d)

1/12

53.

A​ 12-sided solid has faces numbered 1 through 12.

If the​ 12-sided solid is rolled 180​ times, a​ 3, 9, or 11 should be rolled approximately

how many ​times?

a)

3 times

b)

90 times

c)

45 times

d)

10

54.

A​ 12-sided solid has faces numbered 1 through 12.

If the​ 12-sided solid is rolled 180​ times, a​ 1,2 3, 8, 9, or 11 should be rolled approximately

how many ​times?

a)

3 times

b)

90 times

c)

45 times

d)

10

55.

Based on statistics for the past several​ seasons, the probability that the best player on a basketball team makes a free throw is 8 out of 10.

The probability that the​ second-best player makes a free throw is 13 out of 20.

If both players attempt 140 free throws over a​ season, how many more free throws is the best player expected to​ make?

a)

112

b)

21

c)

91

d)

110

56.

Based on statistics for the past several​ seasons, the probability that the best player on a basketball team makes a free throw is 8 out of 10.

The probability that the​ second-best player makes a free throw is 13 out of 20.

If both players attempt 140 free throws over a​ season, how many free throws is the best player expected to​ make?

a)

112

b)

21

c)

91

d)

110

57.

Based on statistics for the past several​ seasons, the probability that the best player on a basketball team makes a free throw is 8 out of 10.

The probability that the​ second-best player makes a free throw is 13 out of 20.

If both players attempt 140 free throws over a​ season, how many free throws is the worst player expected to​ make?

a)

112

b)

21

c)

91

d)

110

58.

Markell randomly selects one of his eight different pairs of shoes to wear each day. Of his eight pairs of​ shoes, he has two pairs of boots and one pair of loafers. For how many days of the next 264 is it expected that he will wear either boots or​ loafers?

a)

22

b)

66

c)

99

d)

33

59.

Markell randomly selects one of his eight different pairs of shoes to wear each day. Of his eight pairs of​ shoes, he has two pairs of boots and one pair of loafers. For how many days of the next 264 is it expected that he will wear loafers?

a)

22

b)

66

c)

99

d)

33

60.

Jamarion randomly selects one of his eight different pairs of shoes to wear each day. Of his eight pairs of​ shoes, he has two pairs of boots and one pair of loafers. For how many days of the next 264 is it expected that he will wear boots?

a)

22

b)

66

c)

99

d)

33

61.

Jyderrius has 4 quarters, some dimes, and some pennies. If the ratio of quarters to dimes is 8 : 6 and the ratio of pennies to dimes is 7 : 3, then how many pennies does he have?

a)

11

b)

7

c)

3

d)

5