theoretical and experimental probability worksheet

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EXPERIMENTAL AND THEORICAL PROBABILITY WORKSHEET

Experimental probability - practice questions.

Problem 1 :

Find the experimental probability of 

(a)  Tossing a head with one toss of a coin if it falls heads 96 times in 200 tosses.

(b) Rolling a six with a die given that when it was rolled 300 times, a six occurred 54 times

Problem 2 :

Find the experimental probability of rolling an odd number with a die if an odd number occurred 33 times when the die was rolled 60 times.              Solution

Problem 3 :

Clem fired 200 arrows at a target and hit the target 168 times. Find the experimental probability of Clem hitting the target.              Solution

Problem 4 :

Ivy has free-range hens. Out of the first 123 eggs that they laid she found that 11 had double-yolks. Calculate the experimental probability of getting a double-yolk egg from her hens.             Solution

Problem 5 :

Jackson leaves for work at the same time each day. Over a period of 227 working days, on his way to work he had to wait for a train at the railway crossing on 58 days. Calculate the experimental probability that Jackson has to wait for a train on his way to work.

Problem 6 :

Ravi has a circular spinner marked P, Q and R on equal sectors. Find the experimental probability of getting a Q if the spinner was twirled 417 times and finished on Q on 138 occasions.

Problem 7 :

Each time Claude shuffled a pack of cards before a game, he recorded the suit of the top card of the pack His results for 140 games were 34 Hearts, 36 Diamonds, 38 Spades and 32 Clubs.

Find the experimental probability that the top card of a shuffled pack is :

(a) a Heart  (b) a Club or Diamond

(1)  (a)   96/200    (b)   54/300

(2)   11/20

(3)   168/200

(4)   11/123

(5)   58/227

(6)   138/417

(7)  (a)   34/140   (b)   68/140

Theoretical Probability

A die is rolled. What is the theoretical probability of getting :

b) a "prime number"?

A bag contains 1 yellow, 2 green and 5 blue beds. One bead is chosen at random. Find the probability that it is :

(a)  Yellow  (b)  not yellow

1 A die numbered 1 to 6 is rolled once. Find:

b) P(even number)

c) P(a number at least 1)

e) P(not a 5)

f) P(a number greater than 6)

The five illustrated cards are well shuffled and placed face down on a table. One of the cards is randomly chosen. 

A bag contains 10 beads. 5 are white, 2 are red, 1 is blue, 1 is green and 1 is black. A bead is taken at random from the bag. Find:

a) P(white)

c) P(not black)              Solution

A letter is randomly chosen from GENEVA.

a)  Find the probability that it is:

b) Given that the letter chosen first is a G and it is removed, what is the probability that a second randomly chosen letter is a vowel?           Solution

A dart board has 30 sectors, numbered 1 to 30. A dart is thrown towards the bulls-eye and misses in a random direction. Determine the probability that the dart hits:

a) a multiple of 5

b) a number between 7 and 13 inclusive

c) a number greater than 18

e) a multiple of 7

f) an even number that is a multiple of 3.

(1)  (a)   1/6   (b)  1/2

(2)  (a)  1/8   (b)  7/8

(3)  (a)  1/6  (b)  1/2  (c)  1  (d)   1/6  (e)  5/6  (f)   0

(4)  (a)   2/5  (b)  1/5  (c)  4/5  (d)  4/5

(5)  (a)   1/2  (b)     1/10  (c)  9/10

(6)  (a)  (i)     1/3  (ii)   0  (b)   3/5

(7)  (a)   1/5  (b)   7/30  (c)   11/30  (d)   1/30  (e)   2/15

(f)   1/6

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Experimental Probability Worksheets

Experimental probability worksheets are a great activity for students to share their understanding of the many ways to find and describe the probability. Students practice finding relative frequency (experimental probability) and theoretical probability using different types of manipulatives.

Benefits of Experimental Probability Worksheets

Experimental probability worksheets play a vital role in strengthening the basics of the concept. An experimental probability worksheet enables students to develop their foundational concepts in the topic at hand. These math worksheets are very well structured, ensuring that the level of difficulty of the problems increases gradually.

By solving these problems, students can improve their confidence. This skill acquired can be applied to any subject or a real-life problem involving the use of Mathematics.

Download Experimental Probability Worksheet PDFs

Experimental probability worksheets are interactive and provide several visual simulations. Hence, they enable students to combine fun with learning, creating a positive learning environment. They are also easy to use and free to download.

Visual maths worksheets, each maths worksheet is differentiated and visual.

Experimental Probability worksheet

Total reviews: (0), experimental probability worksheet description.

Students will conduct their own dice experiment and compare their results with theoretical probability in section A. In section A, pupils must roll a dice 60 times and record the number of ‘6’s scored after every 10 rolls in the table provided and plot their results on a graph (axes provided). Pupils will compare their results with the theoretical probability of rolling a fair dice and could also compare their results with their peers.

In section B, the same experiment has been carried out, but this time the results have been provided. Students will again work out the experimental probability of these results, plot them on a graph and discuss by answering questions about the data.

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Theoretical probability.

Solve probability word problems involving combinations

Theoretical probability is the ratio between the number of ways an event can occur and the total number of possible outcomes in the sample space. Put simply, it’s the chance that something will happen, usually expressed as a percentage.

Theoretical and Experimental Probability

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Theoretical and Experimental Probability Worksheet

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Description

This 1-page, 11-question worksheet is a great way for students to practice finding the theoretical and experimental probabilities of simple events! Please view the preview file to determine if this product is appropriate for your students!

An answer key is included.

This activity is aligned to CCSS 7.SP.C.6.

Please note that this activity is NOT editable. The text, problems, and images are not able to be changed.

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Experimental Probability and Relative Frequency: Worksheets with Answers

Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.

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