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Experimental Probability Worksheets

Experimental Probability Worksheets
  • Page 1
 1.  
A pair of dice is cast 20 times, and on 2 of these occasions, the sum of the numbers facing up is 5. What is the experimental probability of the outcome 5?
a.
1
b.
0.1
c.
0.01
d.
10


Solution:

P(event) = Number of times an event happensNumber of trials made

P(outcome 5) = number of times sum 5 occuredtotal number of times dice thrown

= 220 = 110
[Simplify.]

The experimental probability of the outcome 5 is 110. .


Correct answer : (2)
 2.  
In a blub factory, 1000 bulbs were checked. Out of which 50 were found to be defective. What is the experimental probability a blub is defective?
a.
6%
b.
5%
c.
15%
d.
2%


Solution:

P(event) = Number of times an event happensNumber of trials made

P(defective bulb) = number of times "defective blub" occurstotal number of bulbs checked = 501000 = 5%.
[Simplify.]

The probability of a defective bulb is 5%.


Correct answer : (2)
 3.  
Annie planted 85 seeds out of which 17 were lemon seeds. Find the experimental probability of not choosing a lemon seed.
a.
1 85
b.
1 9
c.
1 5
d.
4 5


Solution:

P(lemon seed) = Number of lemon seeds plantedTotal number of seeds planted

= 17 / 85 = 1 / 5
[Substitute and simplify.]

P(no lemon seed) = 1 - P(lemon seed)

= 1 - 1 / 5 = 4 / 5
[Substitute and simplify.]

Experimental probability of not choosing a lemon seed is 4 / 5.


Correct answer : (4)
 4.  
The table shows the data of the books sold by a bookstore on different subjects during the first week of June. Find the probability of selling a math book.

a.
8 out of 43
b.
25 out of 129
c.
44 out of 129
d.
12 out of 129


Solution:

Total number of books sold during the week = 44 + 36 + 24 + 25 = 129
[Add the number of books in each subject.]

Number of math books sold = 44

P(math book) = Number of math books sold Total number of books sold = 44 / 129
[Substitute the values.]

The probability of selling a math book is 44 out of 129 .


Correct answer : (3)
 5.  
Find the probability of getting an odd number, when a number cube is rolled.
a.
0.6
b.
0.5
c.
0.4
d.
0.71


Solution:

Number of favorable outcomes = number of odd numbers = 3.

Total number of possible outcomes = numbers on the cube = 6

Probability (getting an odd number) = Number of favorable outcomesTotal number of possible outcomes

= 36
[Simplify.]

= 12
[Convert fraction to decimal.]

= 0.5.
[Convert fraction to decimal.]


Correct answer : (2)
 6.  
Mary rolls a number cube. What is the probability of getting an even number?
a.
0.5
b.
1
c.
1.5
d.
0.75


Solution:

Probability of getting an even number = Number of favorable eventsTotal number of events

Total number of events on rolling a number cube = { 1,2,3,4,5,6 } = 6.

Number of favorable events of getting an even number = { 2,4,6 } = 3.

Probability of getting an even number = 36
[Simplify.]

= 12
[Convert fraction to decimal.]

= 0.5


Correct answer : (1)
 7.  
There are 4 blackberries and 5 apples in a bag. If Tom picks a fruit at random from the bag, then what is the probability of the fruit being a blackberry?
a.
0.25
b.
0.32
c.
0.49
d.
0.44


Solution:

Number of favorable outcomes = number of blackberries = 4.

Total number of possible outcomes = number of fruits = 9

Probability (getting a blackberry) = Number of favorable outcomes Total number of possible outcomes.

= 49
[Convert fraction to decimal.]

= 0.44


Correct answer : (4)
 8.  
Use a decimal to express the probability that L is selected from the word UMBRELLA.
a.
0.75
b.
0.25
c.
0.5
d.
0.65


Solution:

Number of favorable outcomes = number of 'L' = 2.

Total number of possible outcomes = number of alphabets = 8

Probability (getting L) = Number of favorable outcomes Total number of possible outcomes

= 28
[Simplify.]

= 14
[Convert fraction to decimal.]

= 0.25


Correct answer : (2)
 9.  
What is the probability of getting a number, which is a multiple of 4 when the spinner is turned?


a.
0.75
b.
0.50
c.
0.35
d.
0.25


Solution:

Number of favorable outcomes = Multiples of 4 = 2.

Total number of possible outcomes = Numbers on spinner = 8

Probability (getting a multiple of 4) = Number of favorable outcomes  Total number of possible outcomes

= 28
[Simplify.]

= 14
[Convert fraction to decimal.]

= 0.25


Correct answer : (4)
 10.  
What are the odds in favor of spinning yellow in the figure?


a.
1 : 4
b.
1 : 2
c.
3 : 4
d.
1 : 1


Solution:

The odds in favor of an event = Number of favorable outcomes / Number of unfavorable outcomes

Number of favorable outcomes = 4
[Since there are 4 yellow colored sections in the spinner.]

Number of unfavorable outcomes = 8
[Since there are 8 sections colored other than yellow in the spinner.]

Odds in favor of spinning yellow = 4 / 8 = 1 : 2
[Substitute and simplify.]

So, the odds in favor of spinning yellow is 1 : 2.


Correct answer : (2)

More Experimental Probability Worksheets
Fundamental Counting Principle Worksheet
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