What is Probability?
In Mathematics, Probability theory is the study of chances. In real life, we predict chances depending on the situation. But Probability theory is bringing a mathematical foundation for the concept of Probability. For example, if a box contain 10 balls which include 7 black balls and 3 red balls and randomly chosen one ball. Then the Probability of getting red ball is 3/10 and Probability of getting black ball is 7/10. When coming to statistics, Probability is like the back bone of statistics. It has a wide application in decision making, data science, business trend studies, etc.
How to Calculate Binomial Probability Distribution?
Binomial Probability Distribution calculator uses Binomial Probability = (C(Total Number of Trials,Number of Successful Trials))*Probability of Success in Binomial Distribution^Number of Successful Trials*Probability of Failure^(Total Number of Trials-Number of Successful Trials) to calculate the Binomial Probability, The Binomial Probability Distribution formula is defined as the likelihood of obtaining a specific number of successful trials in a fixed number of independent trials, where each trial can result in one of two outcomes (success or failure), and the probability of success in each trial remains constant. Binomial Probability is denoted by P_{Binomial} symbol.
How to calculate Binomial Probability Distribution using this online calculator? To use this online calculator for Binomial Probability Distribution, enter Total Number of Trials (n_{Total Trials}), Number of Successful Trials (r), Probability of Success in Binomial Distribution (p_{BD}) & Probability of Failure (q) and hit the calculate button. Here is how the Binomial Probability Distribution calculation can be explained with given input values -> 17.67415 = (C(20,4))*0.6^4*0.4^(20-4).