THEORETICAL PROBABILITY OF COMPOUND EVENTS WORKSHEET

About "Theoretical probability of compound events worksheet"

Theoretical probability of compound events worksheet :

Worksheet on theoretical probability of compound events is much useful to the students who would like to practice problems on theoretical probability.

Theoretical probability of compound events worksheet - Problems

1.  Jacob rolls two fair number cubes. Find the probability that the sum of the numbers he rolls is 8.

2. A deli prepares sandwiches with one type of bread (white or wheat), one type of meat (ham, turkey, or chicken), and one type of cheese (cheddar or Swiss). Each combination is equally likely. Find the probability of choosing a sandwich at random and getting turkey and Swiss on wheat bread.

3.  The combination for Khiem’s locker is a 3-digit code that uses the numbers 1, 2, and 3. Any of these numbers may be repeated. Find the probability that Khiem’s randomly-assigned number is 222.

Theoretical probability of compound events worksheet - Solution

Problem 1 :

Jacob rolls two fair number cubes. Find the probability that the sum of the numbers he rolls is 8.

Solution :

Step 1 :

List out all the possible outcomes when two cubes are rolled.

There are 36 possible outcomes in the sample space.

Step 2 :

Create a table where each cell represents the sum on two number cubes.

Then, circle the outcomes that give the sum of 8.

Step 3 :

Find the number of outcomes in which the sum is 8.

Number of outcomes in which the sum is 8  =  5

Step 4 :

Find the required probability.

P (for sum 8)  =  5 / 36

Hence, the probability that the sum of the numbers is 8 is 5/36.

Problem 2 :

A deli prepares sandwiches with one type of bread (white or wheat), one type of meat (ham, turkey, or chicken), and one type of cheese (cheddar or Swiss). Each combination is equally likely. Find the probability of choosing a sandwich at random and getting turkey and Swiss on wheat bread.

Solution :

Step 1 :

Make a tree diagram to find the sample space for the compound event.

Step 2 :

Find the number of possible outcomes in the sample space.

From the above tree diagram, number of possible outcomes in the sample space is 12.

Step 3 :

Find the number of possible outcomes for turkey and Swiss on wheat bread.

From the above tree diagram, number of possible outcomes for turkey and Swiss on wheat bread is 1.

Step 3 :

Find the probability of choosing turkey and Swiss on wheat bread at random.

Probability  =  1/12

Problem 3 :

The combination for Khiem’s locker is a 3-digit code that uses the numbers 1, 2, and 3. Any of these numbers may be repeated. Find the probability that Khiem’s randomly-assigned number is 222.

Solution :

Step 1 :

List all the codes that start with 1 and have 1 as a second digit.

(1, 1, 1)

(1, 1, 2)

(1, 1, 3)

Step 2 :

List all the codes that start with 1 and have 2 as a second digit.

(1, 2, 1)

(1, 2, 2)

(1, 2, 3)

Step 3 :

List all the codes that start with 1 and have 3 as a second digit.

(1, 3, 1)

(1, 3, 2)

(1, 3, 3)

Step 4 :

 Codes start with 2(2, 1, 1)(2, 1, 2)(2, 1, 3)(2, 2, 1)(2, 2, 2)(2, 2, 3)(2, 3, 1)(2, 3, 2)(2, 3, 3) Codes start with 3(3, 1, 1)(3, 1, 2)(3, 1, 3)(3, 2, 1)(3, 2, 2)(3, 2, 3)(3, 3, 1)(3, 3, 2)(3, 3, 3)

Step 5 :

Find the number of outcomes in the sample space by counting all the possible codes.

There are 27 such codes.

Step 6 :

Find the probability that Khiem’s locker code is 222.

Number of outcomes for  Khiem’s locker code 222  =  1

Probability (Code 222)  =  1/27

After having gone through the stuff given above, we hope that the students would have understood "Theoretical probability of compound events worksheet".

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6