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Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityAddition theoremMedium2 minPYQ_2020
MathematicsMediumsingle choice

LetAandB, be two events such that the probability that exactly one of them occurs is25, and the probability thatAorB, occurs is12, then the probability of both of them occur together is.

Options:

Answer:
D
Solution:

P(exactly one)=25
=PA+PB-2PAB=25  ...1
PAB=12
=PA+PB-PAB=12  ...2
PAB=12-25=5-410=110.

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Addition theorem
2mℹ️ Source: PYQ_2020

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