If for two events A and B- PA- B PA - PB- then the two events A and B are

The correct option is B DependentFor independent.events P( A∩ B ) =P( A ) .P( B ) So, P( A∩ B ) ≠ P( A ) .P( B ) implies that A and B are independent ...

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Byju's Answer

Standard XII

Mathematics

Simple and Compound Event

If for two ev...

Question

If for two events $A$ and $B, P (A \cap B) \neq P (A) \times P (B)$ , then the two events $A$ and $B$ are

Independent

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Dependent

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Not equally likely

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Not exhaustive

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Solution

The correct option is B Dependent
For independent.events $P (A \cap B) = P (A) . P (B)$
So, $P (A \cap B) \neq P (A) . P (B)$ implies that A and B are independent.

Suggest Corrections

Similar questions

If A and B are two mutually exclusive and exhaustive events, then $P (B) = 1 - P (A) .$

Q. Let

P (E)

denote the probability of occurrence of event

E .

A

and

B

are two events associated with an experiment such that

∣ ∣ ∣ ∣ ∣ \begin{matrix} P (A) - 1 & P (B) & - P (A \cap B) P (B) & - P (A \cap B) & P (A) - 1 - P (A \cap B) & P (A) - 1 & P (B) \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0,

then

Q. If

A, B

and

C

are mutually exclusive and exhaustive events, then

P (A) + P (B) + P (C)

equals to -

Q. Assertion :If

P (A / B) = P (B / A)

. A, B are two non mutually exclusive events then

P (A) = P (B)

. Reason: For non mutually exclusive events

(A \cap B) \neq ϕ

and

P (A / B) = \frac{P (A \cap B)}{P (B)}

P (B / A) = \frac{P (A \cap B)}{P (A)}

Let A and B be independent events with P (A ) = 0.3 and P (B) = 0.4 . Find
$P (A \cap B)$

$P (A \cup B)$

$P (\frac{A}{B})$ .

$P (\frac{B}{A})$

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If for two events A and B,P(A∩B)≠P(A)×P(B), then the two events A and B are

The correct option is B DependentFor independent.events P(A∩B)=P(A).P(B)So, P(A∩B)≠P(A).P(B) implies that A and B are independent.

If for two events $A$ and $B, P (A \cap B) \neq P (A) \times P (B)$ , then the two events $A$ and $B$ are

The correct option is B Dependent
For independent.events $P (A \cap B) = P (A) . P (B)$
So, $P (A \cap B) \neq P (A) . P (B)$ implies that A and B are independent.