# DESIGNING AND CONDUCTING A SIMULATION FOR A SIMPLE EVENT

## About "Designing and conducting a simulation for a simple event"

Designing and conducting a simulation for a simple event :

We can use a graphing calculator or computer to generate random numbers and conduct a simulation.

## Designing and conducting a simulation for a simple event - Example

Question :

A cereal company is having a contest. There are codes for winning prizes in 30% of its cereal boxes. Find an experimental probability that you have to buy exactly 3 boxes of cereal before you find a winning code.

Answer :

Step 1 :

Choose a model.

The probability of finding a winning code is 30%  =  3/10

Use whole numbers from 1 to 10.

Let three numbers represent buying a box with a winning code.

Winning code: 1, 2, 3

Non winning code: 4, 5, 6, 7, 8, 9, 10

Step 2 :

Generate random numbers from 1 to 10 until you get one that represents a box with a winning code. Record how many boxes you bought before finding a winning code.

5 numbers generated: 9, 6, 7, 8, 1

(1 represents a box with a winning code)

Step 3 :

Perform multiple trials by repeating Step 2.

Trials

1

2

3

4

5

6

7

8

9

10

Numbers Generated

9, 6, 7, 8, 1

2

10, 4, 8, 1

4, 10, 7, 1

2

4, 3

3

7, 5, 2

8, 5, 4, 8, 10, 3

9, 1

Boxes bought

5

1

4

4

1

2

1

3

6

2

Step 4 :

Find the experimental probability.

In 1 of 10 trials, you bought exactly 3 boxes of cereal before finding a winning code.

The experimental probability is 1/10 , or 10%.

## Practice question

An elephant has a 50% chance of giving birth to a male or a female calf. Use a simulation to find an experimental probability that the elephant gives birth to 3 male calves before having a female calf. (Hint: Use 0s and 1s. Let 0 represent a male calf, and 1 represent a female calf. Generate random numbers until you get a 1.)

After having gone through the stuff given above, we hope that the students would have understood "How to design and conduct a simulation for a simple event".

Apart from the stuff given above, if you want to know more about "Designing and conducting a simulation for a simple event", please click here

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

HTML Comment Box is loading comments...

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic 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