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Partition of Sample Space

Events A and ...

Question

Events A and B are such that . State whether A and B are independent?

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Solution

It is given that

Therefore, A and B are not independent events.

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Events A and B are such that . State whether A and B are independent?

A

B

P (A) = \frac{1}{2}, P (B) = \frac{7}{12}

P (n o t A o r n o t B) = \frac{1}{4}

. State whether

A

B

are independent ?

Events A and B ar such that $P (A) = \frac{1}{2} P (B) = \frac{7}{12}$ and P (not A or not B) $= \frac{1}{4} .$ State whether A and B are independent?

A

B

are two events such that

P (A) = 0.2

P (A B) = 0.7

A

B

are independent events then

P (B)

Q. If A and B are independent events such that 0 < P(A) < 1 and 0 < P(B) < 1., then which of the following is not correct?
(a) A and B are mutually exclusive
(b) A and

B

are independent
(c)

A

and B are independent
(d)

A and B

are independent

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