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Probability (core)

Total questions: 70

Worksheet time: 5hrs 47mins

Name
Class
Date
1.

It rains the last 4 out of 12 days in October. If this trend continues, how many rainy days would you expect in November (30 days in November)?

a)

1/3 of a day

b)

12 days

c)

4 days

d)

10 days

2.

You randomly choose a pencil from a jar. There are 5 pink pencils, 3 blue pencils, 8 yellow pencils, and 1 green pencil. What is the probability of choosing a pink or green pencil?

a)

6

b)

5/17

c)

6/17

d)

1/17

3.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

4.
What is the probability of pulling a red marble out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?
a)
1/7
b)
7/20
c)
7/10
d)
3/10
5.
If you were to roll the die one time what is the probability of it landing on a 2?
a)
2 out of 6
b)
2 out of 2
c)
1 out of 6
d)
1 out of 1
6.
What is the probability of getting an odd number when rolling a single 6 sided die?
a)
1/6
b)
2/6
c)
3/5
d)
3/6
7.
What is the probability of the spinner landing on red?
a)
5/12
b)
1/5
c)
5/5
d)
3/5
8.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
9.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
10.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
11.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
12.
How do you write 0.02 as a percent?
a)
20%
b)
200%
c)
2%
d)
.02%
13.
The theoretical probability of rolling an even number on a dice.
a)
3/6
b)
1/2
c)
1/6
d)
5/6
14.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
15.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
16.
If a dice is rolled 300 times, how many times would you predict a roll of a 1 or a 6?
a)
50
b)
100
c)
150
d)
75
17.
A spinner has 11 equal sized sections marked 1 through 11.  What is the theoretical probability that you will land on an even number
a)
45%
b)
44%
c)
55%
d)
54%
18.
Find the experimental probability of spinning Letter Q.
a)
15/15
b)
3/10
c)
3/50
d)
7/10
19.

What is the probability that you choose blue? *simplify

5 green

6 yellow

8 blue

7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

20.

What is the probability the spinner stops on yellow?

a)

.05

b)

50%

c)

25%

d)

3/8

21.
A die is rolled. What is the probability that the result is less than 3 ?
a)
1/2
b)
1/3
c)
1/4
d)
1/6
22.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
23.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
24.
You roll two die.
What is the probability you will roll a 4, then roll a number less than 3?
a)
1/36
b)
1/18
c)
1/9
d)
1/6
25.

Melissa rolled a number cube that has sides labeled 1 to 6. What is the probability that she rolled a 2 or a 3?

a)

1/6

b)

1/3

c)

1/2

d)

3/4

26.
What is the probability of choosing a marble 
that is not green from the jar?
a)
10/20
b)
10/10
c)
3/20
d)
7/20
27.
Which color marble is least likely to be pulled from the jar?
a)
Green 
b)
Red
c)
Blue
d)
Yellow
28.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

29.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
30.
Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?
a)
1/3
b)
1/2
c)
1/6
d)
1/4
31.
A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).
a)
1/14
b)
1/2
c)
0
d)
1/7
32.

If P(A) is the probability of event A, then find P(Yellow)

a)

38\frac{3}{8}  

b)

34\frac{3}{4}  

c)

48\frac{4}{8}  

d)

47\frac{4}{7}  

33.

The numbers 1 to 20 are each written on a card. The 20 cards are mixed together and one card is chosen at random from the pack. Find the probability that the number on the card is a factor of 12.

(a)  

34.

What is the probability that the sun will rise tomorrow?

a)

Likely

b)

Unlikely

c)

Impossible

d)

Certain

35.

The numbers 1 to 20 are each written on a card. The 20 cards are mixed together. Find the probability that the number on the the card is a factor of 24

a)

1/20

b)

5/20

c)

1/2

d)

7/20

36.

The numbers 1 to 20 are each written on a card. The 20 cards are mixed together. Find the probability that the number on the the card prime

a)

2/5

b)

3/5

c)

5/7

d)

3/7

37.

A fair die is thrown once. Find the probability of obtaining an odd number

a)

1/3

b)

1/2

c)

3/5

d)

1/6

38.

a fair coin is tossed and a fair die is rolled. Find the probability of obtaining a 'head' and a 'six'

a)

1/2 x 1/6 = 1/12

b)

1/2 + 1/6 = 4/6

c)

1/8

d)

1/7

39.

A bag contains 8 red marbles, 4 blue marbles and 2 yellow marbles. What is the probability of randomly taking a yellow marble out of the bag?

a)

1/6

b)

1/7

c)

1/2

d)

2/13

40.

What is the probability of rolling an even number on a dice?

a)

1/3

b)

2/3

c)

1/2

d)

1/6

41.

The probability of rolling a prime number on a dice is:

a)

1/3

b)

2/3

c)

1/2

d)

1/6

42.

An unlikely chance event is closer to what number?

a)

0

b)

1

c)

0.5

d)

100

43.

The probability of it raining today is 30%. What is the probability that it will NOT rain?

a)

30%

b)

70%

c)

100&

d)

0%

44.

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, he picks a second card at random.

a)

Independent

b)

Dependent

45.

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

a)

1/18

b)

2/5

c)

3/7

d)

4/9

46.

There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.

a)

2/7

b)

6/13

c)

5/16

d)

3/19

47.

Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Sue will select a treat, not replace it, and then select a second treat.

a)

Independent

b)

Dependent

48.

A bag contains 5 red balls and 3 green balls. A ball is drawn at random and then replaced. Another ball is drawn. What the probability that both ball are green?

a)

3/8

b)

1/2

c)

9/64

d)

6/8

49.

The number of sample space members in the toss of a coin and a dice done simultaneously is ... the sample point.

a)

12

b)

16

c)

18

d)

24

50.

Riki has a number of red, green and white balloons. The black balloon chance that Riki has erupts is ...

a)

0,75

b)

0,25

c)

0,15

d)

0

51.

A dice is tossed once a lottery.

Probability to appear dice

factor 6 is ...

a)

1/4

b)

2/3

c)

1/3

d)

1/2

52.

Two currencies are tossed in lots at the same time. Probability to appear both images are ...

a)

1/8

b)

3/8

c)

1/4

d)

1/3

53.

In the trial of tossing 3 coins, probability to appear 2 pictures and 1 number is ...

a)

1/3

b)

1/8

c)

2/3

d)

3/8

54.

Probality to appear dice totaling 11 if two dice are thrown together is ...

a)

1/9

b)

1/36

c)

2/9

d)

1/18

55.

The 4 male students and 2 female students one person will be chosen to be the student council president by drawing. Probability of selected female students are ...

a)

1/3

b)

1/2

c)

1/4

d)

1/6

56.

In a box there are 1 dozen markers. There are 3 red color, 5 blue color, and the rest are black. A marker was taken at random. Probability of getting a marker in black is ...

a)

1/3

b)

1/2

c)

1/4

d)

1/6

57.

In a bag containing 10 yellow marbles, 5 white marbles and 26 blue marbles. One marble is taken white and not returned again. If a marble is taken again randomly, then probability of getting another white marble is ...

a)

1/10

b)

4/41

c)

5/41

d)

1/8

58.

In a bag there are 8 balls with numbers 1 to 8. If you take a ball randomly, probability of picking a prime number ball are ...

a)

2/8

b)

3/8

c)

4/8

d)

5/8

59.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
a)
3/20
b)
1/4
c)
3/31
d)
2/27
60.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(1st orange then green)
a)
1/15
b)
2/15
c)
3/31
d)
1/5
61.
There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. What is the probability that the first student is a boy and the second student is a girl?
a)
7/26
b)
1/2
c)
2/17
d)
8/29
62.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
63.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
64.

How many outfits are possible with 2 pairs of jeans, 5 t-shirts, and 2 pairs of shoes? (Hint: Use a list, tree diagram or the Fundamental Counting Principle.)

a)

9

b)

40

c)

20

d)

10

65.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
66.
A bag contains 2 blue marbles, 3 black marbles, and 5 red marbles. If Mrs. Govande pulls two marbles without replacement, what is the probability of picking a blue and then a red marble? 
a)
1/9
b)
1/5
c)
1/10
d)
2/5
67.

There are 4 jacks in a standard deck of 52 playing cards. If Peyton selects a card at random, what is the probability that it will be a jack?

a)

1/13

b)

1/52

c)

1/2

d)

12/13

68.

Brooke has a box of crayons. 45 are yellow, 12 are green, 25 are blue, and 7 are red. If Brooke selects a crayon at random, which color crayon would she be most likely to select?

a)

yellow

b)

green

c)

blue

d)

red

69.
What is the probability of rolling a cube and having land as an odd number?
a)
3/4
b)
1/3
c)
1/2
d)
2/5
70.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%