Let A and B be two independent events such that P A = 1 3 and P B = 1 6 . Then, which of the following is true?

A & B are independent events, so P A B ' = P ( A ∩ B ' ) P ( B ' ) = P ( A ) · P ( B ' ) P ( B ' ) = P ( A ) = 1 3

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Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityConditional probabilityMedium2 minPYQ_2020

MathematicsMediumsingle choice

Let $A$ and $B$ be two independent events such that $P (A) = \frac{1}{3}$ and $P (B) = \frac{1}{6} .$ Then, which of the following is true?

Options:

Answer:

Solution:

A & B are independent events, so
$P (\frac{A}{B^{'}}) = \frac{P (A \cap B^{'})}{P (B^{'})} = \frac{P (A) \cdot P (B^{'})}{P (B^{'})} = P (A) = \frac{1}{3}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Conditional probability

⏱ 2mℹ️ Source: PYQ_2020

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