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Questions and Answers
What approach did A.N. Kolmogorov formulate for understanding probability?
The axiomatic approach.
What is the definition of probability according to C.S. Peirce?
The science of logic quantitatively treated.
What is the key concept introduced when discussing conditional probability?
The probability of an event given that another event has occurred.
The sample space of tossing three fair coins is _____ = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.
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Which events are defined in the context of tossing three fair coins?
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What is the formula for conditional probability of E given that F has occurred?
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What is the probability of event E given that event F has occurred?
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Study Notes
Conditional Probability
- The probability of an event can change depending on the occurrence of a previous event.
- Conditional probability is the probability of an event occurring given that another event has already occurred.
- It is denoted by P(E|F), where E and F are events.
Calculating Conditional Probability
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It's calculated by dividing the probability of the intersection of the events E and F (E ∩ F) by the probability of the event F:
- P(E|F) = P(E ∩ F) / P(F)
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When the event F is the sample space, the conditional probability simplifies to the original probability of E.
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Conditional probabilities can be useful for updating our understanding of an event based on new information.
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Description
Test your knowledge on conditional probability and its calculations. Explore how the occurrence of one event can affect the probability of another. This quiz covers fundamental concepts and formulas related to conditional probability.
