If A and B are two events, such that P(A or B)=P(A), then

events A and B are mutually exclusive

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events A and B are statistically independent

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event B is a subset of event A

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event A is a subset of event B

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Solution

The correct option is C event B is a subset of event A
$P (A o r B) = P (A \cup B) = P (A)$
In venn diagram it is shown that $B$ is a part of $A$ Hence probability of occurrance of event $A$ or event $B$ will be $P (A)$ .
$∴ B$ is subset of $A$

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Similar questions

A and B are two events such that $P (A) \neq 0$ . Find $P (\frac{B}{A})$ if

A is a subset of B

$A \cap B = ϕ$

P (A) = \frac{1}{4}

P (B) = \frac{1}{6}

P (C) = \frac{2}{3}

P (A \cup B \cup C) = P (A) + P (B) + P (C)

P (A \cup B) =

P (A) \neq 0, P (B / A)

A \cap B = Φ

P (A) = 0.5,

P (A \cup ¯ B) = 0.7

P (B) =

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