Consider the experiment of rolling a die. Let A be the event of 'getting a prime number' and B be the event of 'getting an odd number'. Then which of the following is/are true?
A
The set A or B={1,2,3,5}
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B
The set A and B={3,5}
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C
The set A but not B={2}
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D
The set A and B={1,2,3,5}
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Solution
The correct option is C The set A but not B={2} We have, S={1,2,3,4,5,6} A={2,3,5} and B={1,3,5}
Clearly we have, A or B=A∪B={1,2,3,5}
Similarly, we have A and B=A∩B={3,5} A but not B=A−B={2}