Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityAddition theoremMedium2 minPYQ_2023

MathematicsMediumsingle choice

If $E$ and $F$ are events such that $0 < P (F) < 1$ , then

Options:

Answer:

Solution:

$P (E ∣ F) + P (\overset{ˉ}{E} ∣ F)$
$= \frac{P ( E \cap F ) + P ( E ˉ \cap F )}{P ( F )} = \frac{P (( E \cup E ˉ ) \cap F )}{P ( F )} = \frac{P ( F )}{P ( F )} = 1$

Stream:BITSATSubject:MathematicsTopic:ProbabilitySubtopic:Addition theorem

⏱ 2mℹ️ Source: PYQ_2023

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