Probability Math Version

Introduction to Probability Math Version

In math version, probability is a method of expressing knowledge or attitude that an occurrence will happen. In mathematics the idea has been given a right sense in probability theory, that is used broadly in such areas of learn as mathematics, finance, statistics etc. Now we will see the examples of probability.I like to share this Calculating Probability with you all through my article.

Examples - Probability Math Version

The following difficult examples are used to understand the probability concepts.

Example 1

The set A has the numbers from 15 to 23. Find the probability for the following outcomes?

i) Select the numbers below 20.

ii) Select the numbers between 15 to 20.

Solution

The set A={15,16,17,18,19,20,21,22,23}

i) Take P(A) is the probability for select the numbers below 20.

Total numbers n(S)=9

Here the following numbers are the below 20 n(A)={15,16,17,18,19}=5

So P(A)=`(n(A))/(n(S))`

=`5/9` .

ii) Take P(B) is the probability for  select the numbers between 15 and 20.

Total outcomes n(S)= 9

The following numbers are available n(B)= {16,17,18,19}=4

So P(B)=`(n(B))/(n(S))`

= `4/9` .

Example 2

James has 5 white balls, Mercy has 10 blue balls and Tom has the 6 yellow color balls. Find the probability for select James white balls.

Solution

James white color balls n(A)=5

Mercy’s blue color balls n(B)=10

Tom’s yellow color balls  n(C)=6

Total number of balls n(S)=5+10+6

=21.

Take P(A) is the probability for select James white balls.

P(A) =`(n(A))/(n(S))`

=`5/21` .

Example 3

Solve the probability for select the letter ‘R’ from the word ‘ALGEBRA?

Solution

Given word is ALGEBRA.

Total letters n(S)=7

Number of ‘R’ letter n(A)=1

So the probability=`1/7` . 

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Practice Problems- Probability Math Version

1.What is the probability for select the letter ‘E’ from the word ‘SET THEORY’?

Answer:

Probability=`2/9` .

2.What is the probability for select the even numbers from 1 to 6?

Answer:

Probability=`1/2` .

These example problems are used to learn the probability concepts in math version.