Introduction to Probability

# Introduction to Probability Video Lecture | Crash Course: Civil Engineering (CE)

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## FAQs on Introduction to Probability Video Lecture - Crash Course: Civil Engineering (CE)

 1. What is probability?
Ans. Probability is a measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 represents impossibility and 1 represents certainty. In other words, probability quantifies how probable it is for a specific outcome to happen.
 2. How is probability calculated?
Ans. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This is known as the classical probability formula. For example, if you want to calculate the probability of rolling a 6 on a fair six-sided die, the favorable outcome is 1 (rolling a 6) and the total number of possible outcomes is 6 (numbers 1 to 6). Thus, the probability would be 1/6.
 3. What is conditional probability?
Ans. Conditional probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(A|B), where A and B are two events. The formula for conditional probability is P(A|B) = P(A and B) / P(B), where P(A and B) represents the probability of both events A and B occurring together, and P(B) represents the probability of event B occurring.
 4. What is the difference between independent and dependent events?
Ans. Independent events are events where the outcome of one event does not affect the outcome of the other event. For example, flipping a coin twice and getting heads on the first flip does not change the probability of getting heads on the second flip. Dependent events, on the other hand, are events where the outcome of one event does affect the outcome of the other event. For instance, drawing a card from a deck without replacement changes the probability of drawing a specific card on subsequent draws.
 5. How can probability be used in real-life situations?
Ans. Probability is widely used in various real-life situations. It helps in making informed decisions by assessing the likelihood of different outcomes. For instance, it is used in weather forecasting to predict the chance of rain. Probability is also used in insurance to determine the likelihood of an event (such as a car accident) happening and to calculate premiums. In gambling, probability is used to calculate the odds of winning or losing. Additionally, probability is used in scientific research, sports predictions, and many other fields.

## Crash Course: Civil Engineering (CE)

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