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Introduction to Conditional Probability Video Lecture | Mathematics (Maths) for JEE Main & Advanced

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FAQs on Introduction to Conditional Probability Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. What is conditional probability?
Ans. Conditional probability is the probability of an event occurring given that another event has already occurred.
2. How is conditional probability calculated?
Ans. Conditional probability is calculated using the formula P(A|B) = P(A and B) / P(B), where P(A|B) is the conditional probability of event A given event B has occurred, P(A and B) is the probability of both events A and B occurring, and P(B) is the probability of event B occurring.
3. Can you give an example of conditional probability?
Ans. For example, if we have a deck of cards and we draw a card without replacement, the probability of drawing a red card given that the first card drawn was a heart would be an example of conditional probability.
4. What is the relationship between conditional probability and independence of events?
Ans. If two events A and B are independent, then the conditional probability of event A given event B is equal to the probability of event A, i.e., P(A|B) = P(A). If two events are dependent, then the conditional probability will be different from the individual probabilities.
5. How is conditional probability used in real-life applications?
Ans. Conditional probability is used in various real-life applications such as weather forecasting, medical diagnosis, and financial risk assessment to calculate the probability of an event occurring given certain conditions or factors.
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