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Interactive Animation: Conditional Probability and Law of Total Probability

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Interactive Animation: Conditional Probability and Law of Total Probability

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Questions and Answers

What is the positivity axiom in probability?

A probability is always bigger than or equal to 0

Define the Probability of a Certain Event.

If the event of interest is the sample space, we say that the outcome is a certain event

Explain the Additivity axiom in probability.

The probability of the union of two exclusive events is equal to the sum of the probabilities of the individual events happening

What is the Addition Law of Probability used for?

It is used when events are not exclusive Signup and view all the answers

How is the sum rule related to the Addition Law of Probability?

The sum rule is used when calculating the probability of the union of two events Signup and view all the answers

Explain the concept of Permutations in probability.

Permutations refer to the arrangements of objects in a particular order Signup and view all the answers

In a scenario where 'The Single Ladies' band has a shortlist of 8 songs but can only play 3, how many final song selections are possible?

56 final song selections are possible Signup and view all the answers

What is the concept of Conditional Probability?

Conditional probability is the probability of an event given that another event has occurred Signup and view all the answers

Define Independence in probability.

Events are independent if the occurrence of one event does not affect the probability of the other Signup and view all the answers

When is Bayes' Rule used in probability?

Bayes' Rule is used to update probabilities based on new information or evidence Signup and view all the answers