Probability (प्रायिकता) In Hindi
प्रायिकता यह मापने का एक तरीका है कि किसी घटना के होने की कितनी संभावना है। इसे 0 से 1 के बीच एक संख्या के रूप में व्यक्त किया जाता है, जहाँ:
1. 0 का अर्थ है कि घटना के होने की कोई संभावना नहीं है।
2. 1 का अर्थ है कि घटना के होने की पूर्ण संभावना है।
Probability In English
Probability is a measure of the likelihood of an event occurring, expressed as a numerical value between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. In other words, it quantifies the uncertainty or chance associated with the outcome of a particular event. The concept of probability is extensively used in various fields such as mathematics, statistics, science, finance, and everyday decision-making processes. It provides a framework for reasoning about uncertain situations and making informed predictions based on available information. Probability theory deals with the study of random phenomena and the rules governing their outcomes, enabling the analysis of events with uncertain outcomes in a systematic and rigorous manner.
The Theoretical Probability (also called classical probability) of an event E, written as P(E), is defined as
P(E) = \( \frac{Number of outcomes favouravle to E}{Number of all possible outcomes of the experiment} \)
or
Probability = \( \frac{favouravle outcomes}{Total possible outcomes} \)
Some basic terms related to Probability
1. Experiment: An action or process that leads to one or more outcomes. For example, rolling a die is an experiment.
2. Outcome: A possible result of an experiment. For instance, when rolling a die, the outcomes are the numbers 1 through 6.
3. Favorable Outcome: Is simply an outcome you’re interested in or hoping for. It’s the result you consider a success in a particular situation. It would be 1, 3, and 5. These outcomes are favorable because they meet the condition specified (being odd).
4. Total Possible Outcomes: It refer to all the different results that could occur in an experiment or event. For example, when rolling a six-sided die, the total possible outcomes are 1, 2, 3, 4, 5, and 6.
Leave a Reply