In Statistics terms a probability means the chances of a desirable event to happen. Finding a probability varies from a simple procedure to a complicated working depending upon the context and the requirements. For example, if you toss a fair coin only once, you can easily say the probability of getting a head (or tail) is just ½.
However all events are like tossing a coin at once. It depends on various factors and the desirable events to happen may be function. Also the probability you want to find may not be as simple like ‘head or tail’.
Mathematicians have worked out various formulas and methods to find probabilities of different nature. These methods or algorithms are called probability calculators.
Let us study different types of probabilitiy examples and the probability calculators that help us to solve problems on Probability.
Binomial Probability Calculator
A binomial probability is the probability of getting a favorable outcome when the possible out comes are only two. As we said earlier, the probability in such cases is ½ for one experiment (trial). It is not related to the concept of bionomial theorem , But it becomes a bit more difficult task with more number of experiments and how you describe the desirable outcome.
In general, P(b/a), the probability of b favorable outcomes out of total possible out comes a, the formula is given by,
If this formula is made as an algorithm in a system, it is a probability calculator. If the same is hoisted in the websites, then it become as online probability calculators. In such cases all that you need to enter the values of a and b in the specified fields and just read the value of P!
Normal Probability Calculator
In this case, the number of total outcomes is no more restricted to 2.
For example, Robert is a student of a class which has 30 students. If all are eligible to become the class leader and the teacher wants to select at random, the number of total outcomes is 30. Hence John’s probability of being chosen as the class leader is only 1/30.
The probability calculator in these type of cases is given by the probability formula,
where, P(b) is the probability of the desired event b, where n(b) is the possible number of occurrence of event b and where n(a) is the total number of occurrence.
Here again if this formula is made as an algorithm a in system, it is a probability calculator. If the same is hoisted in the websites, then it become as online probability calculators. In such cases all that you need to enter the values of a and b in the specified fields and just read the value of P!
Z Score Probability Calculator
This is a very important concept.
Earlier we said a probability depends on what you define as ‘favorable’ event.
Some times a favorable event of ‘z’ times’ is defined as a function related to the actual score of ‘x’, the mean of the scores ‘m’ and the standard deviation of ‘s’ of a data. They are related as,
z = (x – m)/s.
Hence to decide about the probability favorable to x, first you need to calculate ‘z’ and then determine the probability of ‘z’.
Using the value ‘x’ directly to determine the probability will lead to incorrect results.
Students can also get help with solving their homework problems on probability online.
Probability Topics
Choose your Probability topics below:
Chapter 1: Introduction to probability
Chapter 2: Foundations of probability theory
Chapter 3: Complement of an event
Chapter 4: Mutually exclusive events
Chapter 5: Independent events
Chapter 6: Dependent events
Chapter 7:Conditional probability
Chapter 8: Probability practice exercieses
Chapter 9: Geometric probability