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Examples: Probability Video Lecture - CSAT Preparation - UPSC

197 videos|151 docs|200 tests

FAQs on Examples: Probability Video Lecture - CSAT Preparation - UPSC

1. What is probability in statistics?
Ans. Probability in statistics is a measure of the likelihood that a particular event or outcome will occur. It is expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty. Probability is used to quantify uncertainty and help make informed decisions in various fields of study.
2. How is probability calculated?
Ans. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This can be expressed mathematically as P(A) = (number of favorable outcomes) / (total number of possible outcomes). For example, if you want to find the probability of rolling a 4 on a fair six-sided die, the favorable outcome is 1 (rolling a 4) and the total possible outcomes are 6 (numbers 1 to 6).
3. What is the difference between theoretical probability and experimental probability?
Ans. Theoretical probability is based on mathematical reasoning and calculations, while experimental probability is determined through actual experiments or observations. Theoretical probability uses the concept of equally likely outcomes to predict probabilities, whereas experimental probability relies on collected data from real-world experiments or observations. Theoretical probability is often used when the outcomes are known and well-defined, while experimental probability is employed when there is uncertainty or variability in the outcomes.
4. Can probability be greater than 1?
Ans. No, probability cannot be greater than 1. Probability is a measure of likelihood, and it ranges from 0 to 1, inclusive. A probability of 0 means the event is impossible, while a probability of 1 indicates the event is certain to occur. Any value outside this range is not considered a valid probability.
5. How does probability relate to risk assessment?
Ans. Probability plays a crucial role in risk assessment by quantifying the likelihood of specific events or outcomes occurring. In risk assessment, probabilities are assigned to various scenarios or hazards, and these probabilities help determine the level of risk associated with each scenario. By assessing the probability of different risks, decision-makers can prioritize actions, allocate resources, and develop strategies to minimize or mitigate potential negative outcomes. Probability enables a more systematic and evidence-based approach to risk management.
197 videos|151 docs|200 tests

Timeline

00:00 Introduction
00:20 Probability of Events - Two coins tossed
00:57 Probability of Events - Rolling two dice together
01:59 Probability Problems based on two dice rolled together
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