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It is the set of numbers even numbers from 10 to 20 and b is a set of prime numbers between 10 to 20 and D set off numbers from 10 to 16 then what type of events are a b and b isclusive or mutually exclusive or exhaustive events and explain how?
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It is the set of numbers even numbers from 10 to 20 and b is a set of ...
Types of Events: a, b, and b'
- a: The set of even numbers from 10 to 20.
- b: The set of prime numbers between 10 to 20.
- D: The set of numbers from 10 to 16.
Explanation:
Exhaustive Events:
- In this case, the events a, b, and D are exhaustive events because together they cover all possible outcomes within the given range of numbers (10 to 20). Each number in the range falls into one of these sets: even numbers, prime numbers, or numbers from 10 to 16.
Mutually Exclusive Events:
- Events a and b are mutually exclusive because no number falls into both sets. Even numbers and prime numbers are distinct sets that do not overlap. For example, 10 is an even number but not a prime number, and 11 is a prime number but not an even number.
- However, events a and D as well as events b and D are not mutually exclusive as there are numbers like 10 and 12 which belong to both sets.
Inclusive Events:
- Events a and b are inclusive events when considering the union of both sets. In this case, the inclusive events cover all even numbers and prime numbers between 10 to 20, including numbers that are in both sets (like 10 and 12).
- The event D is inclusive with respect to a and b because it includes numbers that are common to both sets (10 and 12).
In conclusion, the events a, b, and D are exhaustive events, a and b are mutually exclusive events, and a, b, and D are inclusive events when considering their union.
- a: The set of even numbers from 10 to 20.
- b: The set of prime numbers between 10 to 20.
- D: The set of numbers from 10 to 16.
Explanation:
Exhaustive Events:
- In this case, the events a, b, and D are exhaustive events because together they cover all possible outcomes within the given range of numbers (10 to 20). Each number in the range falls into one of these sets: even numbers, prime numbers, or numbers from 10 to 16.
Mutually Exclusive Events:
- Events a and b are mutually exclusive because no number falls into both sets. Even numbers and prime numbers are distinct sets that do not overlap. For example, 10 is an even number but not a prime number, and 11 is a prime number but not an even number.
- However, events a and D as well as events b and D are not mutually exclusive as there are numbers like 10 and 12 which belong to both sets.
Inclusive Events:
- Events a and b are inclusive events when considering the union of both sets. In this case, the inclusive events cover all even numbers and prime numbers between 10 to 20, including numbers that are in both sets (like 10 and 12).
- The event D is inclusive with respect to a and b because it includes numbers that are common to both sets (10 and 12).
In conclusion, the events a, b, and D are exhaustive events, a and b are mutually exclusive events, and a, b, and D are inclusive events when considering their union.
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It is the set of numbers even numbers from 10 to 20 and b is a set of prime numbers between 10 to 20 and D set off numbers from 10 to 16 then what type of events are a b and b isclusive or mutually exclusive or exhaustive events and explain how?
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It is the set of numbers even numbers from 10 to 20 and b is a set of prime numbers between 10 to 20 and D set off numbers from 10 to 16 then what type of events are a b and b isclusive or mutually exclusive or exhaustive events and explain how? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about It is the set of numbers even numbers from 10 to 20 and b is a set of prime numbers between 10 to 20 and D set off numbers from 10 to 16 then what type of events are a b and b isclusive or mutually exclusive or exhaustive events and explain how? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It is the set of numbers even numbers from 10 to 20 and b is a set of prime numbers between 10 to 20 and D set off numbers from 10 to 16 then what type of events are a b and b isclusive or mutually exclusive or exhaustive events and explain how?.
It is the set of numbers even numbers from 10 to 20 and b is a set of prime numbers between 10 to 20 and D set off numbers from 10 to 16 then what type of events are a b and b isclusive or mutually exclusive or exhaustive events and explain how? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about It is the set of numbers even numbers from 10 to 20 and b is a set of prime numbers between 10 to 20 and D set off numbers from 10 to 16 then what type of events are a b and b isclusive or mutually exclusive or exhaustive events and explain how? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It is the set of numbers even numbers from 10 to 20 and b is a set of prime numbers between 10 to 20 and D set off numbers from 10 to 16 then what type of events are a b and b isclusive or mutually exclusive or exhaustive events and explain how?.
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