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#### karush

##### Well-known member

- Jan 31, 2012

- 3,177

(a) the shaded hopefully shows $(A\cup B)'$

(b) (i) if $(A\cup B)'= 21$ and $n(U)=36$ then $n(A\cup B)=15$

but $n(A)+n(B)=17$ so $n(A\cap B) = 2$

(ii) $P(A\cap B)$ not sure but guessing $2:17$

(c) not sure what "mutually exclusive" means but presume it has to do with the overlap.

never done Venn Diagrams so this is all new ... did look at De Morgan's stuff tho..

(b) (i) if $(A\cup B)'= 21$ and $n(U)=36$ then $n(A\cup B)=15$

but $n(A)+n(B)=17$ so $n(A\cap B) = 2$

(ii) $P(A\cap B)$ not sure but guessing $2:17$

(c) not sure what "mutually exclusive" means but presume it has to do with the overlap.

never done Venn Diagrams so this is all new ... did look at De Morgan's stuff tho..

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