Default Probability

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 learn the default examples of probability.

Examples- Laws of Probability

Example 1:

There are 50 things are available in a shop. In those things, 15 are the dolls, 20 are the balloons and 15 are the boxes. What is the probability for the following outcomes?

i) Select the dolls

ii) Select the balloons

iii) Select the boxes.

Solution:

Total number of things n(S) =50

Number of dolls n (A) =15

Number of balloons n (B) =20

Number of boxes n(C) =15

i) Assume P(A) is the probability for select the dolls.

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

=`(15)/(50)`

=`(3)/(10)` .

ii) Assume P(B) is the probability for select the balloons.

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

= `(20)/(50)`

=`(2)/(5)` .

iii) Assume P(C) is the probability for select the boxes.

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

=`(15)/(50)`

=`(3)/(10)` .
Example 2:

The shop has 52 cars. In those cars, there are 16 are the Innova, 20 are the Scorpio and remaining is the Swift.

i) Select the Innova.

ii) Select the Scorpio.

Solution

First arrange the given information.

Number of cars n(S)=52

Number of Innova cars n(A)=16

Number of Scorpio cars n(B )=20

We don’t know the Swift car quantity. Now find that one with the help of the given information.

Number of swift cars n(C)=n(S)-(n(A)+n(B))

=52-(16+20)

n(C)=16.


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i)Assume P(A) is the probability for select the Innova cars

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

= `(16)/(52)`

=`(4)/(13)` .

ii)Assume P(B) is the probability for select the Scorpio cars .

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

=`(20)/(52)`

=`(5)/(13)` .
Practice Problems for Default Probability

1) Alex has the 25 rings and Mercy has 20 rings. What is the probability for choose the Mercy’s rings?

Answer:

Probability=`(20)/(45)`

=`(4)/(9)` .

2) What is the probability for getting the head if a coin is flipped?

Answer:

Probability=`(1)/(2)` .

These default problems are used to learn the probability.