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Which of the following pairs of events are mutually exclusive?
- a)A : The student reads in a school. B : He studies Philosophy.
- b)A : Raju was born in India. B : He is a fine Engineer.
- c)A : Ruma is 16 years old. B : She is a good singer.
- d)A : Peter is under 15 years of age. B : Peter is a voter of Kolkata.
Correct answer is option 'D'. Can you explain this answer?
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Which of the following pairs of events are mutually exclusive?a)A : Th...
Mutually Exclusive Events
Mutually exclusive events are events that cannot occur at the same time. In simpler terms, if event A occurs, then event B cannot occur and vice versa. Let's go through each option one by one to identify which pairs of events are mutually exclusive.
a) A : The student reads in a school. B : He studies Philosophy.
These events are not mutually exclusive because the student can read in school and also study Philosophy.
b) A : Raju was born in India. B : He is a fine Engineer.
These events are not mutually exclusive because Raju can be born in India and also be a fine Engineer.
c) A : Ruma is 16 years old. B : She is a good singer.
These events are not mutually exclusive because Ruma can be 16 years old and also be a good singer.
d) A : Peter is under 15 years of age. B : Peter is a voter of Kolkata.
These events are mutually exclusive because if Peter is under 15 years of age, he cannot be a voter of Kolkata. Similarly, if Peter is a voter of Kolkata, he cannot be under 15 years of age. Therefore, these events cannot occur at the same time, making them mutually exclusive.
Conclusion
The pair of events that are mutually exclusive is option D.
Mutually exclusive events are events that cannot occur at the same time. In simpler terms, if event A occurs, then event B cannot occur and vice versa. Let's go through each option one by one to identify which pairs of events are mutually exclusive.
a) A : The student reads in a school. B : He studies Philosophy.
These events are not mutually exclusive because the student can read in school and also study Philosophy.
b) A : Raju was born in India. B : He is a fine Engineer.
These events are not mutually exclusive because Raju can be born in India and also be a fine Engineer.
c) A : Ruma is 16 years old. B : She is a good singer.
These events are not mutually exclusive because Ruma can be 16 years old and also be a good singer.
d) A : Peter is under 15 years of age. B : Peter is a voter of Kolkata.
These events are mutually exclusive because if Peter is under 15 years of age, he cannot be a voter of Kolkata. Similarly, if Peter is a voter of Kolkata, he cannot be under 15 years of age. Therefore, these events cannot occur at the same time, making them mutually exclusive.
Conclusion
The pair of events that are mutually exclusive is option D.
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Community Answer
Which of the following pairs of events are mutually exclusive?a)A : Th...
Why D is correct. Because, when Peter is under the age of 15, he cannot be voter of kolkata. MUTUALLY Exclusive means two or more than two things cannot happen at the same time. Same idea is applied in option D.
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Which of the following pairs of events are mutually exclusive?a)A : The student reads in a school. B : He studies Philosophy.b)A : Raju was born in India. B : He is a fine Engineer.c)A : Ruma is 16 years old. B : She is a good singer.d)A : Peter is under 15 years of age. B : Peter is a voter of Kolkata.Correct answer is option 'D'. Can you explain this answer?
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