# USING EXPERIMENTAL PROBABILITY TO MAKE PREDICTIONS

The following steps will be useful to make predictions using experimental probability.

Step 1 :

Using the given data, find experimental probability of an event.

Step 2 :

Make predictions by multiplying experimental probability and total number of trials.

Example 1 :

The table shows the number of necklaces sold in three sizes and two different metals by a jeweler in January 2017. If had sold 100 necklaces in February 2017, about how many 20-inch gold necklaces would he have sold ? Solution :

Step 1 :

Since we want to make predictions for 20-inch gold necklaces, first we have to find experimental probability for 20-inch gold necklaces from the given data.

Find experimental probability for 20-inch gold necklaces.

Total no. of necklaces is

=  12 + 16 + 5 + 22 + 8 + 12

=  75

Step 2 :

Find the no. of 20-inch gold necklaces.

No. of 20-inch gold necklaces  =  12.

Step 3 :

Find the probability. Experimental probability  =  12/75

Simplify.

Experimental probability  =  4/25

Step 4 :

Now make prediction for 20-inch gold necklaces in the total of 100 necklaces sold in Feb 2017.

Multiply the experimental probability and the total number of necklaces sold in Feb.

=  (4/25) x 100

Simplify.

=  4 x 4

=  16

So, he would have sold sixteen 20-inch gold necklaces in Feb 2017.

Example 2 :

The table given below shows the number of male and female patients that range in ages from 10 years old to 50 years old having had by a dentist in the year 2015. If the dentist had 600 patients in the year 2016, about how many female patients in the age range 22–39 can be expected ? Solution :

Step 1 :

Find the total no. of patients.

Total no. of patients is

=  44 + 66 + 32 + 53 + 36 + 50 + 45 + 74

=  400

Step 2 :

Find the no. of female patients in the age range 22 - 39.

No. of female patients in the age range 22 - 39  =  50

Step 3 :

Find the probability. Experimental probability  =  50/400

Simplify.

Experimental probability  =  1/8

Step 4 :

Now make prediction for female patients in the age range 22–39.

Multiply the experimental probability and the total number of patients in the year 2016.

=  (1/8) x 600

=  600/8

Simplify

=  75

In the year, 75 female patients in the age range 22–39 can be expected. Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

v4formath@gmail.com

You can also visit the following web pages on different stuff in math.

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

1. Click on the HTML link code below.

Featured Categories

Math Word Problems

SAT Math Worksheet

P-SAT Preparation

Math Calculators

Quantitative Aptitude

Transformations

Algebraic Identities

Trig. Identities

SOHCAHTOA

Multiplication Tricks

PEMDAS Rule

Types of Angles

Aptitude Test 