Q102 of 108 Page 271

State True or False for the statements in the Exercise.
If A and B are two events such that P(A) > 0 and P(A) + P(B) >1, then

True

As, P(B|A) =

⇒ P(B|A) =

The above equation clearly implies that:

P(B|A) ≥ ;

As we need to add to get the equal term

⇒ LHS is greater.

100

State True or False for the statements in the Exercise.

If A and B are independent events, then P(A′ ∪ B) = 1 – P (A) P(B′)

101

State True or False for the statements in the Exercise.

If A and B are independent, then

P (exactly one of A, B occurs) = P(A)P(B′)+P(B) P(A′)

103

State True or False for the statements in the Exercise.

If A, B and C are three independent events such that P(A) = P(B) = P(C) = p, then

P (At least two of A, B, C occur) = 3p² – 2p³

104

Fill in the blanks in the following question:

If A and B are two events such that

and , then p = _____

State True or False for the statements in the Exercise.If A and B are two events such that P(A) > 0 and P(A) + P(B) >1, then