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Probability Practice Worksheets

Probability Practice Worksheets
  • Page 1
 1.  
Express verbally the probability of selecting a nickel from a box which contains quarters, nickels, dimes and pennies.


a.
4 out of 10
b.
1 out of 10
c.
5 out of 10
d.
3 out of 10


Solution:

There are 10 possible outcomes.

There are 3 nickels.

So, the probability of selecting a nickel is 3 out of 10.


Correct answer : (4)
 2.  
What is the probability of getting a sum of 10 when two dice are rolled?
a.
1 18
b.
1 12
c.
1 36
d.
1 9


Solution:

Total number of possible outcomes when two dice are rolled = 62 = 36.
[Each dice has 6 faces.]

Total number of favorable outcomes to get a sum of 10 is 3.
[The favorable outcomes are (6, 4), (5, 5), (4, 6).]

Probability(event) = Number of favorable outcomesNumber of possible outcomes
[Formula.]

P(sum of 10) = 3 / 36
[Substitute the values.]

= 3 ÷ 336 ÷ 3 = 112
[Simplify.]

The probability of getting a sum of 10 when two dice are rolled is 1 / 12.


Correct answer : (2)
 3.  
Express the probability of picking a yellow colored shape by using a fraction.

a.
3 31
b.
4 31
c.
28 31
d.
1 31


Solution:

There are 31 possible outcomes.

There are 4 yellow colored shapes.

So, the probability of picking a triangle is 4 / 31.


Correct answer : (2)
 4.  
A basket contains different fruits as shown. Verbally express the probability of picking a strawberry.


a.
1 out of 16
b.
15 out of 16
c.
7 out of 16
d.
3 out of 16


Solution:

There are 16 possible outcomes.
[Basket contains 16 fruits.]

There are 3 strawberries in the basket.

So, the probability of picking a strawberry is 3 out of 16.


Correct answer : (4)
 5.  
A single card is chosen at random from a standard deck of 52 cards. What is the probability that the card chosen is a Jack?
a.
1 3
b.
3 52
c.
1 13
d.
1 8


Solution:

Total number of possible outcomes is 52.

Number of favorable outcomes is 4.

Probability(event) = Number of favorable outcomesNumber of possible outcomes
[Formula.]

P(a Jack) = 4 / 52 = 1 / 13
[Substitute the values and simplify.]

The probability that the card chosen is a Jack is 1 / 13.


Correct answer : (3)
 6.  
A cube is chosen at random from 11 blue cubes in a bag. What is the probability of getting a blue cube?
a.
1 11
b.
1 2
c.
1


Solution:

There are 11 possible outcomes.

Since all the cubes in the bag are blue, the number of favorable outcomes is 11.

Probability of an event = Number of favorable outcomesNumber of possible outcomes
[Formula.]

P(blue cube) = 11 / 11
[Substitute the values.]

= 1
[Divide.]

The probability of getting a blue cube is 1.


Correct answer : (3)
 7.  
There are 14 coins in Henry's pocket. What is the probability of Henry choosing one out of them?
a.
14
b.
1 14
c.
1 2
d.
1


Solution:

Number of possible outcomes = 14

Number of favorable outcomes = 1

P (coin) = Number of favorable outcomesNumber of possible outcomes

= 1 / 14
[Substitute the values.]

So, the probability of Henry choosing a coin from his pocket is 1 / 14.


Correct answer : (2)
 8.  
6 white, 5 red and 8 yellow roses are arranged in a flower vase. Use a fraction to express the probability of picking a red rose from the flower vase.
a.
8 19
b.
1 19
c.
5 19
d.
6 19


Solution:

Number of possible outcomes = 19
[Add the number of white, red and yellow flowers in the vase.]

Number of favorable outcomes = 5
[There are 5 red roses in the vase.]

So, the probability of picking a red rose is 5 / 19.


Correct answer : (3)
 9.  
What is the probability of choosing a green marble from a bag containing 16 red marbles and 16 green marbles?
a.
1 3
b.
1 4
c.
1 2
d.
1 5


Solution:

Number of possible outcomes = 32

Number of favorable outcomes = 16

Probability (green marble) = Number of favorable outcomesNumber of possible outcomes

= 16 / 32 = 1 / 2
[Divide.]

So, the probability of choosing a green marble from the bag is 1 / 2.


Correct answer : (3)
 10.  
A teacher chooses a student at random from a class of 58 girls. What is the probability that the student chosen is a girl?
a.
1
b.
1 2
c.
1 30


Solution:

Number of possible outcomes = 58

Since all the students in the class are girls, number of favorable outcomes is 58.

Probability of an event = Number of favorable outcomesNumber of possible outcomes
[Formula.]

P (girl) = 58 / 58 = 1
[Substitute the values.]

The probability that the student chosen is a girl is 1.


Correct answer : (1)

More Probability Practice Worksheets
Probability Word Problems
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