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99 Percentile Qs Bank for JEE MainMathematicsSets and Relations

If A and B are any two events of a sample space, then set-theoretic description for the event: "Exactly one of the events A, B to occur" is (Here E ^ c denotes the compliment of the event E )

Options

  1. AA B^c
  2. B(A-B) (A B)
  3. C(A B^c ) (A^c B )
  4. D(A B)^c (A^c B^c )

Correct answer

C. (A B^c ) (A^c B )

Step-by-step solution

When only event A occurs, then it can be written as (A B^C ) And when only event B occurs, then it can be written as (A^C B ) Then, 'exactly one of the events A, B to occur' can be written as : (A B^C ) (A^C B )

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