NIMCET 2024 Paper

Section: Mathematics

Question : 28 of 120

Marks: +1, -0

Let

A

and

B

be two events defined on a sample space

Ω

. Suppose

A^C

denotes the complement of

A

relative to the sample space

Ω

. Then the probability

P ( (A ∩ B^C) ∪ (A^C ∩ B) )

equals:

Solution:

The even

P ( (A ∩ B^C) ∪ (A^C ∩ B) )

mean that either only event A occurs, or event B occurs. This probability is equal to

P(A ∪ B)-P(A ∩ B)

=P(A)+P(B)-2 P(A ∩ B)

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