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What are Independent Events? Video Lecture | Mathematics (Maths) Class 12 - JEE

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FAQs on What are Independent Events? Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What are independent events?
Ans. Independent events refer to two or more events that have no influence on each other's outcomes. The occurrence of one event does not affect the probability of the other event happening.
2. How can we determine if two events are independent?
Ans. Two events are considered independent if the probability of both events happening is equal to the product of their individual probabilities. In other words, if P(A) represents the probability of event A and P(B) represents the probability of event B, then P(A and B) = P(A) * P(B) for independent events.
3. Can independent events have an impact on each other's outcomes?
Ans. No, independent events do not have any impact on each other's outcomes. The outcome of one event does not provide any information or affect the probability of the other event occurring.
4. Are flipping two fair coins independent events?
Ans. Yes, flipping two fair coins is an example of independent events. The outcome of the first coin flip does not affect the outcome of the second coin flip. The probability of getting heads on the first coin and tails on the second coin is the same as getting tails on the first coin and heads on the second coin.
5. What is the difference between independent and dependent events?
Ans. Independent events have no influence on each other's outcomes, whereas dependent events are influenced by each other's outcomes. In dependent events, the occurrence of one event affects the probability of the other event happening. The concept of independence is based on the fact that the outcome of one event provides no information about the outcome of the other event, while dependent events rely on the relationship between the events.
204 videos|290 docs|139 tests
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