Examples of Probability

Introduction to examples of probability:
Probability is a way of expressing  an event that has occurred number of times in the event. In mathematics the probability has been given an exact meaning of probability math and that is used to extensively in such areas of study as statistics, mathematics, finance, gambling, science, and philosophy to draw conclusions about the likelihood of potential events and the underlying mechanics of complex systems.

probability is defined as

P(event) = the number of favorable outcomes / the total number of outcomes.


Examples of probability

Example of probability 1:

If there are 6 apples, 3 oranges, and 1 banana in a basket, what is the probability of choosing an apple without looking in the basket?

Solution for example of probability:

P(choosing an apple)= 6/10 = 3/5 = 0.6 = 60%

The numerator is 6 because there are 6 apples in the basket, therefore six outcomes. the total number of outcomes = 10


Example of probability 2:


A 6-sided die is rolled. What is the probability of each number's outcome? What is the probability of rolling an odd number? of rolling an even number?

Solution for example of probability:

the sample space = {1,2,3,4,5,6}.

P(1)=1/6

P(2)=1/6

P(3)=1/6

P(4)=1/6

P(5)=1/6

P(6)=1/6

P(even)=3/6=1/2

P(odd)=3/6=1/2

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Example of probability 3:

Find the probability of a number chosen at random from 1 to 5. What is the probability of all outcomes? What is the probability that the number chosen is even? What is the probability that the number chosen is odd?

Solution for example of probability:

the sample space = {1,2,3,4,5}

P(1)=1/5

P(2)=1/5

P(3)=1/5

P(4)=1/5

P(5)=1/5

P(even)=2/5

P(odd)=3/5