Differentiate between the mutually exclusive events and-02345

Online Quiz This subjective question is related to the book/course vu mth718 Topics in Numerical Methods. It can also be found in vu mth718 Mid Term Solved Past Paper No. 6.

Question 1: Differentiate between the mutually exclusive events and exhaustive events.
Answer:

Mutually Exclusive Events

Two events A and B of a single experiment are said to be mutually exclusive if and only if they cant both occur at the same time.

Example: When a die is rolled, the events 'even number' and odd number are mutually exclusive as we can get eithere an even number or an odd number in one throw, not both at the same time.

Exhaustive Events:

Events are said to be collectively exhaustive, when the union of mutually exclusive events is equal to the entire sample space S.

Example: In the coin tossing experiment, head and tail are collectively exhaustive events.


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