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Intro to Conditional Probability Video Lecture | Mathematics (Maths) Class 12 - JEE

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FAQs on Intro to Conditional Probability Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is conditional probability?
Ans. Conditional probability is a measure of the probability of an event occurring given that another event has already occurred. It is calculated by dividing the probability of the intersection of the two events by the probability of the given condition.
2. How is conditional probability calculated?
Ans. To calculate conditional probability, you need to find the probability of the intersection of two events and divide it by the probability of the given condition. Mathematically, it can be represented as P(A|B) = P(A ∩ B) / P(B), where P(A|B) is the conditional probability of event A given event B has occurred, P(A ∩ B) is the probability of the intersection of events A and B, and P(B) is the probability of event B.
3. What is the difference between conditional probability and joint probability?
Ans. Conditional probability and joint probability are related but different concepts. Conditional probability measures the probability of an event occurring given that another event has already occurred. On the other hand, joint probability measures the probability of two events occurring at the same time. Conditional probability involves dividing the joint probability by the probability of the given condition to calculate the conditional probability.
4. Can conditional probability be greater than 1?
Ans. No, conditional probability cannot be greater than 1. The probability of an event occurring given that another event has already occurred can range from 0 to 1, inclusive. A probability of 0 means the events are independent, while a probability of 1 means the events are certain to occur together. Any value between 0 and 1 represents the likelihood of the event occurring given the given condition.
5. How is conditional probability useful in real-life applications?
Ans. Conditional probability is widely used in various real-life applications. It helps in making informed decisions by considering the probability of certain events given specific conditions. For example, conditional probability is used in weather forecasting to predict the chance of rain given certain atmospheric conditions. It is also used in medical diagnosis to assess the probability of a disease given certain symptoms. Conditional probability is a valuable tool in data analysis, risk assessment, and decision-making processes.
204 videos|288 docs|139 tests

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