Probability that none of three events occurs

Let $A_1,A_2$ and $A_3$ be three events such that $P(A_i)=\frac13$, $i=1,2,3$; $P(A_i\cap A_j)=\frac16$, $1\le i\ne j\le3$ and $P(A_1\cap A_2\cap A_3)=\frac16$. Then the probability that none of the events $A_1,A_2,A_3$ occur equals ____________ (round off to 2 decimal places)