Of the three independent events $E_1$, $E_2$, and $E_3$, the probability that only $E_1$ occurs is  $\alpha$ only $E_2$ occurs is  $\beta$ and only E3 occurs is $\gamma$ . Let the probability P that none of events $E_1$, $E_2$, $E_3$  occurs is satisfy the equations $(\alpha -2\beta )P=\alpha \beta and\left(\beta -3\gamma \right)P=2\beta \gamma$ . All the given probabilities are assumed to the lie in the internal (0, 1).
Then $\frac{probabilityofoccurence{E}_1}{probabilityofoccurence{E}_3}=$