Q. 10

# Let A and B be th

Given: A and B are the events such that P(A) = and P(B) = and

P(not A or not B) =

To Find: i)If A and B are mutually exclusive

Since P(not A or not B) = i.e., P() =

we know that , P() = P(AB)’= 1- P(AB) =

P(AB) = 1- = Equation 1

Since for two mutually exclusive events P(AB) = 0

But here P(AB) 0

Therefore , A and B are not mutually exclusive.

ii)If A and B are independent

The condition for two events to be independent is given by

P(E1 E2) = P(E1) P(E2)

=

= Equation 2

Since Equation 1 Equation 2

A and B are not independent

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