6. If A and B are two arbitrary events, then P(A ∩ B) cannot be
less than P(A) + P(B) - 1
greater than P(A) + P(B)
equal to P(A) + P(B) - P(A ∪ B)
equal to P(A) + P(B) + P(A ∪ B)
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7. If M and N are two events, then probability that
exactly one of them occurs is not equal to
P(M) + P(N) - 2P(M ∩ N)
P(M) + P(N) - P(M ∩ N)
P(M') + P(N') - 2P(M' ∩ N')
P(M ∩ N') + P(M' ∩ N)
8. If A and B are any two events then which one of
the following pairs of events,are mutually
A ∪ B and A ∩ B'
A ∪ B and A' ∩ B
A ∪ B and A' ∩ B'
A ∪ B and A ∩ B
9. There are three events A, B, C one of which must,
and only one can happen, the odds are
8 to 3 against A, 5 to 2 against B. The odds against
43 to 34
32 to 23
34 to 13
none of these
and P(A) + P(B) + P(C) = 1
Hence odds against C are 43 to 34.
10. There are two bags one of which contains
:3 black and 4 white balls while other contains 4
black and:3 white balls. A dies is cast, if the face 1
or 3 t.urns up, a ball is taken from first bag and if
any other face turns up, a ball is chosen from
second bag. The probability of choosing of black
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