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Independent Probability Practice

Total questions: 50

Worksheet time: 50mins

Name
Class
Date
1.
Jesse rolls a standard die and flips a coin. What is the probability he rolls a 4 and flips heads?
a)

14×12\frac{1}{4}\times\frac{1}{2}

b)

16×12\frac{1}{6}\times\frac{1}{2}

c)

12×12\frac{1}{2}\times\frac{1}{2}

d)

46×12\frac{4}{6}\times\frac{1}{2}

2.

A spinner has 4 equal sections labeled 1, 2, 3, and 4. What is the probability of spinning a 3?

a)

1/3

b)

1/4

c)

3/4

d)

1/16

3.
A spinner has 6 equal sections numbered 1 through 6. What is the probability of spinning an odd number and then flipping tails?
a)
1/4
b)
1/3
c)
1/2
d)
1/6
4.
You roll two standard dice. What is the probability of rolling a 3 on the first die and a 6 on the second die?
a)
1/36
b)
1/18
c)
1/12
d)
1/6
5.

The numbers 1-12 are put into a bag,

What's the probability of picking an EVEN number?

a)

6/12

b)

1/2

c)

1/4

d)

1/6

6.
What is the probability of flipping two heads in a row with a normal coin?
a)
1/2
b)
1/4
c)
1/8
d)
1/16
7.
A bag contains 4 red, 2 blue, and 4 green marbles. What is the probability of drawing a blue marble and then flipping tails?
a)
1/5
b)
1/10
c)
1/2
d)
2/5
8.
You roll a die and flip a coin. What is the probability of rolling a number less than 3 and flipping tails?
a)
1/4
b)
1/3
c)
1/6
d)
1/12
9.

Which letters are vowels?

a)

A

b)

F

c)

E

d)

Y

e)

B

10.
You roll two standard dice. What is the probability of rolling a 2 on the first die and a 2 on the second die?
a)
1/6
b)
1/36
c)
1/12
d)
1/18
11.
A bag contains 5 red, 3 yellow, and 2 green marbles. What is the probability of drawing a red marble and then flipping heads?
a)
1/6
b)
5/20
c)
5/10
d)
5/12
12.
A spinner has 8 equal sections numbered 1 through 8. What is the probability of spinning an even number and then flipping tails?
a)
1/8
b)
1/4
c)
1/16
d)
1/2
13.

How many possible options are there if you get to choose one breakfast option, one side, and one drink?

a)

4 + 6 + 4

b)

4 + 5 + 4

c)

14+ 16+14\frac{1}{4}+\ \frac{1}{6}+\frac{1}{4}

d)

4 x 6 x 4

e)

14×16×14\frac{1}{4}\times\frac{1}{6}\times\frac{1}{4}

14.

What is the probability of flipping a coin and getting heads twice in a row?

a)

1/2

b)

1/4

c)
1/24
d)

2/4

15.
a)

3/8

b)

1/3

c)

3/9

d)

1/4

16.

The letters "MONOPOLY" are put into a bag

What does p'(L) mean?

a)

Probability of

picking L

b)

Probability of

not picking L

c)

Probability of

picking O

d)

Probability of

picking P

e)

Probability of

not picking P

17.
What is the probability of flipping tails and then drawing a green marble from a bag containing 3 red, 4 blue, and 3 green marbles?
a)
1/6
b)
3/10
c)
3/20
d)
1/5
18.
Mia is choosing her breakfast. She can choose from 3 types of cereal, 2 types of fruit, and 4 types of juice. How many different breakfast combinations can Mia make?
a)
12
b)
24
c)
16
d)
10
19.

How many possible meal combinations are there?

a)

5

b)

7

c)

12

d)

24

20.
At a sandwich shop, you can choose from 4 types of bread, 3 types of meat, and 5 types of toppings. How many different sandwich combinations are possible?
a)
20
b)
40
c)
60
d)
100
21.

The letters for the word 'PROBABILITY' are in a bag. What is the probability of drawing a B and then a vowel, assuming you replace the first letter? (DON'T include 'Y' as a vowel)

a)
3/11
b)

8/22

c)

8/121

d)

2/121

22.
James is planning his lunch. He can choose from 2 types of bread, 3 types of cheese, and 4 types of veggies. How many sandwich combinations can he make?
a)
18
b)
24
c)
20
d)
12
23.
At a pizza place, you can choose from 3 types of crust, 4 types of sauces, and 5 types of toppings. How many different pizza combinations are there?
a)
30
b)
60
c)
12
d)
24
24.
The letters for the word 'MATHEMATICS' are in a bag. What is the probability of drawing an M, putting the letter back, and then drawing a vowel?
a)

8/121

b)

6/11

c)

3/11

d)
2/25
25.

A bag contains the letters A, B, C, D, and E. What is the probability of drawing an A

PUTTING IT BACK and then picking C?

a)

15× 14\frac{1}{5}\times\ \frac{1}{4}

b)

15 ×15\frac{1}{5\ }\times\frac{1}{5}

c)

15+ 14\frac{1}{5}+\ \frac{1}{4}

d)

15 +15\frac{1}{5\ }+\frac{1}{5}

26.

A bag contains the letters A, B, C, D, and E. What is the probability of drawing an A

NOT putting it back and then picking C?

a)

15× 14\frac{1}{5}\times\ \frac{1}{4}

b)

15 ×15\frac{1}{5\ }\times\frac{1}{5}

c)

15+ 14\frac{1}{5}+\ \frac{1}{4}

d)

15 +15\frac{1}{5\ }+\frac{1}{5}

27.

What is the probability of drawing a purple,

then drawing a red marble?

a)

10/121

b)

10/11

c)

7/11

d)

7/121

28.

What is the probability of drawing a purple,

then drawing a red marble?

a)

10/121

b)

10/11

c)

7/11

d)

7/121

29.
The letters for the word 'INDEPENDENT' are in a bag. What is the probability of drawing an E, putting it back, and then drawing an N?
a)
3/11
b)

9/121

c)

6/11

d)

5/121

30.
A bag contains the letters from the word 'CALCULATOR.' What is the probability of drawing a C, putting it back, and then drawing a vowel?
a)

8/10

b)

2/25

c)
2/10
d)

4/50

31.
Lexi is choosing her outfit for today. She has 3 pairs of pants, 5 shirts, and 2 hats. How many different outfit combinations can Lexi make?
a)
30
b)
15
c)
10
d)
25
32.
Ryan is packing for a trip. He has 4 pairs of shoes, 6 shirts, and 3 pairs of pants. How many outfit combinations can he create?
a)
72
b)
36
c)
48
d)
96
33.

The letters "SCRABBLE" are placed in a bag. What is the probability of drawing a B, then a vowel, then an S?

a)

1/128

b)

5/8

c)

1/64

d)

4/128

34.
Sophia has 2 dresses, 4 necklaces, and 3 pairs of shoes to choose from. How many different outfit combinations can she make?
a)
18
b)
24
c)
12
d)
30
35.

What is the probability of spinning blue, then spinning orange, then spinning purple?

a)

1/32

b)

1/10

c)

4/32

d)

1/2

36.

What is the next step this student needs to do?

a)

Nothing -

They're done!

b)

Simplify

= 1/30

c)

Simplify

= 1/45

d)

Multiply again

37.

If you pick 3 different food options from this menu -

how many possible combinations do you have?

a)

336

b)

6

c)

12

d)

128

38.

If you pick 4 different food options from this menu -

how many possible combinations do you have?

a)

360

b)

120

c)

10

d)

720

39.
Ari has 4 hats, 5 scarves, and 3 coats. How many total combinations of one hat, one scarf, and one coat can she create?
a)
60
b)
40
c)
50
d)
45
40.
The letters of P.E.M.D.A.S are put into a bag. What is the probability of pulling out a vowel, then pulling an S, then pulling the letter P. (Assuming you put them back each time)
a)
1/108
b)

2/212

c)
1/36
d)
2/108
41.

Find P(striped marble with replacement, then another striped marble).

a)

10%

b)

16%

c)

40%

d)

50%

42.
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
a)
1 ⁄ 6
b)
1 ⁄ 8
c)
1 ⁄ 2
d)
1 ⁄ 12
43.

The letters "CHALLENGE" are placed in a bag. What has the highest probability of occuring?

a)

Choosing

a vowel

b)

Choosing the

letter L

c)

Choosing A and drawing again and getting L

d)

Choosing C, H, N, or G

44.

What has the highest probability when rolling a standard die?

a)

Rolling a 6

b)

Rolling a 1 and then rolling a 5

c)

Rolling an

odd number

d)

Rolling the same number two times in a row

e)

Rolling a 4 or 5

45.

Give me a word that would give you equal probability of

choosing a vowel as choosing a consonant (not a vowel)

4 lines
46.

What is the probability of spinning pink or green?

a)

1/5

b)

2/5

c)

3/5

d)

1/2

47.

What is the probability of drawing a stripped marble first,

then NOT a stripped marble the second time?

a)

100%

b)

6/25

c)

4/10

d)

10/100

48.

How many possible options are there if you get to choose one breakfast option, one side, and one drink?

a)

14

b)

13

c)

196\frac{1}{96}

d)

96

e)

12

49.

If you pick 3 different options off of this menu

How many possible combinations do you have?

a)

720

b)

27

c)

30

d)

560

50.

If you have 2 jackets, 5 shirts, 3 pants, and 4 pairs of shoes,

how many outfit combinations could you make?

a)

120

b)

14

c)

250

d)

85

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