If E and F are two independent events such that P ( E ∩ F ) = 6 1 , P ( E ˉ ∩ F ˉ ) = 3 1 and P (( E ) − P ( F )) ( 1 − P ( F )) > 0 , Then

P ( E ) + P ( F ) = 6 5 P ( E ) − P ( F ) = 6 1

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MathematicsProbabilityIndependent eventsEasy2 minQB

MathematicsEasysingle choice

If E and F are two independent events such that $P (E \cap F) = \frac{1}{6}, P (\overset{ˉ}{E} \cap \overset{ˉ}{F}) = \frac{1}{3}$ and $P ((E) - P (F)) (1 - P (F)) > 0$ , Then

Options:

Answer:

Solution:

$P (E) + P (F) = \frac{5}{6}$

$P (E) - P (F) = \frac{1}{6}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Independent events

⏱ 2mℹ️ Source: QB

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