Probability
Probability

The article "probability" will be helpful to learn about probability and statistics, probability calculator, probability examples, probability formula, probability meaning, probability notation

Probability

Probability in simple word is uncertainty. Before going to discuss this topic, I will explain the probability meaning. As the above, the probability is uncertainty, and uncertainty mean we are not sure about any condition. But on the other side, certainty mean, 100% sure condition. 

Now I will discuss the probability and statistics by the simple definition of probability used in statistics

Probability Definition

Classical Probability 

Uses the sample space to determine the numerical probability that an event will happen. Also called theoretical probability.

In simple words, if there are n equally likely, Mutually exclusive and exhaustive outcomes and m is the number of cases in which we are interested. In other words m is the number of favourable cases. 

We denote the 1st event by A, 2nd event by B, and 3rd event by C and so on in which we are interested or favourable outcomes.

So the probability formula is as follows
Probability
Probability

Empirical Probability or Relative Frequency or Posteriori Definition

Uses a frequency distribution to determine the numerical probability. An empirical probability is a relative frequency.

Probability
Probability

So the probability formula is 

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

Subjective Probability

Uses probability values based on an educated guess or estimate. It employs opinions and inexact information.

With the help of probability examples, the concept of probability will be improved well. 

Example: A bag contains 4 red and 6 green balls. Out of which 3 balls are drawn. Find the probability of drawing

Solution: 

        Red = 4,   Green = 6,    T = 10

Balls are drawn = 3

Possible sample space = 10C3 = 120 ways

Find the probability of drawing

1) 2 red and 1 green ball

Let A is the event that 2 red and 1 green ball

n(A) = 4C2 . 6C1

         = 36

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

         = 36/120 = 0.30

Here, a table is given for probability notation.

Probability
Probability

To use the Probability calculator click 
the this highlight probability calculator

Open the above highlight probability calculator and use and you can calculate probability calculations.