(a) Suppose A, B and D are sets with the following
properties:
A ∩ B = A, B ∩ D =
D , ( Ac ∪
Dc)c = ∅
Draw a venn diagram for these sets and hence
shade the region
( Ac \ Bc) ∩ Dc
(b) Given that P(A U B) = k, P( A ) = 0.4, P( B ) =
0.2, determine the value of k if
(i) A and B are
independent. (ii) A and B are mutually exclusive. (iii)
B is contained in A.
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