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(A B)’= 1- P(A B) =  P(A B) = 1- = Equation 1

Since for two mutually exclusive events P(A B) = 0

But here P(A B) 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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