Probability and Set Theory

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What is Probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

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What is a Set in Set Theory?

Back

A set is a collection of distinct objects, considered as an object in its own right.

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What does the Union of Two Sets (A ⋃ B) represent?

Back

The union of two sets A and B is the set of elements that are in A, in B, or in both.

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What does the Intersection of Two Sets (A ∩ B) represent?

Back

The intersection of two sets A and B is the set of elements that are common to both A and B.

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What is the Complement of a Set (A')?

Back

The complement of a set A includes all the elements that are not in A.

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How do you calculate the Experimental Probability?

Back

Experimental probability is calculated by dividing the number of times an event occurs by the total number of trials.

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What is a Tree Diagram?

Back

A tree diagram is a visual representation of all possible outcomes of a probability experiment.

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What does it mean if an event has a probability of 0?

Back

An event with a probability of 0 is impossible and will not occur.

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What does it mean if an event has a probability of 1?

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An event with a probability of 1 is certain and will definitely occur.

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What is a Venn Diagram?

Back

A Venn diagram is a diagram that shows all possible logical relations between a finite collection of different sets.