What is Combination Probability in Math?
Combination probability, also known as the probability of combinations, involves the process of determining the possibility of specific subset from a large set regardless to the order in which the subsets are chosen. Combination probability has wide range of application in games, statistics, gambling, genetics, etc.
Combination in Math
Combination is known as the selection of items from a large set, where the order of the items does not matter. for example, if there is a set of n items from which we have to select r items, the formula to calculate the combination is:
nCr = n!/(n-r)!r!
where
- n = total number of items,
- r = number of items to be chosen at a time.
For example, let A, B, C are three components i.e., n = 3 and combinations size is 2, means r = 2. Then there are 3C2 such combinations present, which is equal to 3. The combinations are AB, BC, and CA. In probability problems, combinations are used to determine a sequence of outcomes where the order of the outcomes is not important.
What is Probability?
Probability is the measure of the possibility that an event will occur. It is defined as a number between 0 and 1 with 0 denoting improbability and 1 denoting certainty. It is a branch of mathematics that deals with the interpretation of random events. For example, when we toss a coin, either we get head or tail, hence only two possible outcomes are possible, the outcomes are (H,T).
Formula for Probability:
Probability of a event to happen P(E) = Number of favorable outcomes/Total Number of outcomes
How To Calculate Probability using Combination
Combination probability is a mathematical method that involves the process of combination in determining the number of favorable outcomes of an event. We use combinations in probability problems to determine a sequence of outcomes where the order of the outcomes does not matter. Understanding how to calculate combination probability can be a useful mathematical skill in the field of math and science.
In this article, we will discuss in detail the definitions of combination and probability and how to calculate combination probability with solved examples.
Table of Content
- What is Combination Probability in Math?
- Combination in Math
- What is Probability?
- Formula for Calculating Probability using Combination
- How to Calculate Combination Probability?
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