1. $A$,$B$ and $C$ are three events such that $P(C)=0.37$, $P({A}^{'}\cap{B}^{'}\capC)=0.18,$ $P(A\capB\capC)=0.09$ and $P({(A\cupB\cupC)}^{'})=0.21.$ In addition the following two relations hold:

$P(A\capB\cap{C}^{'}):P(A\cap{B}^{'}\capC):P({A}^{'}\capB\capC)=3:4:1$

$P(A):P(B)=9:10$

Draw a Venn diagram to illustrate the probabilities.