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If age the set of all even numbers from 10 to 20 the set of all prime numbers from 11 to 20 mcs the element 50 then what type of events are ab and c mutually exclusive or mutually exhausted explain how?
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If age the set of all even numbers from 10 to 20 the set of all prime ...
Explanation:
- Definition of Mutually Exclusive Events:
- Definition of Mutually Exhaustive Events:
- Analysis:
- Mutual Exclusivity:
- Mutual Exhaustiveness:
Two events are said to be mutually exclusive if they cannot occur at the same time. In other words, if one event happens, the other event cannot happen simultaneously.
Two events are said to be mutually exhaustive if at least one of the events must occur. In other words, the occurrence of one event guarantees that one of the events will occur.
The set A represents all even numbers from 10 to 20, which includes the numbers 10, 12, 14, 16, 18, and 20. The set B represents all prime numbers from 11 to 20, which includes the numbers 11, 13, 17, and 19. Since the number 50 is not part of either set A or set B, it is outside the sample space of both events.
Events A and B are mutually exclusive because no number is both even and prime in the given range. Therefore, if an even number is selected, it cannot be a prime number, and vice versa. The occurrence of one event excludes the possibility of the other event happening.
Events A and B are not mutually exhaustive because there are other numbers within the range of 10 to 20 that are neither even nor prime. For example, the number 15 is neither even nor prime, so it does not fall into either set A or set B. Therefore, the occurrence of events A and B does not cover all possible outcomes within the given range.
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If age the set of all even numbers from 10 to 20 the set of all prime numbers from 11 to 20 mcs the element 50 then what type of events are ab and c mutually exclusive or mutually exhausted explain how?
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If age the set of all even numbers from 10 to 20 the set of all prime numbers from 11 to 20 mcs the element 50 then what type of events are ab and c mutually exclusive or mutually exhausted 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 If age the set of all even numbers from 10 to 20 the set of all prime numbers from 11 to 20 mcs the element 50 then what type of events are ab and c mutually exclusive or mutually exhausted explain how? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If age the set of all even numbers from 10 to 20 the set of all prime numbers from 11 to 20 mcs the element 50 then what type of events are ab and c mutually exclusive or mutually exhausted explain how?.
If age the set of all even numbers from 10 to 20 the set of all prime numbers from 11 to 20 mcs the element 50 then what type of events are ab and c mutually exclusive or mutually exhausted 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 If age the set of all even numbers from 10 to 20 the set of all prime numbers from 11 to 20 mcs the element 50 then what type of events are ab and c mutually exclusive or mutually exhausted explain how? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If age the set of all even numbers from 10 to 20 the set of all prime numbers from 11 to 20 mcs the element 50 then what type of events are ab and c mutually exclusive or mutually exhausted explain how?.
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