Statistical Inference — size of a randomized test from a table

Let X be a random variable whose pmf under $H_0$ and $H_1$ is given as under: x: 0,1,2,3,4; $P(x|H_0)$: 0.1,0.2,0.3,0.3,0.1; $P(x|H_1)$: 0.2,0.3,0.1,0.2,0.2. Test is conducted based on a single observed value of X to test $H_0:X\sim P(x|H_0)$ versus $H_1:X\sim P(x|H_1)$. The null hypothesis is rejected if $X=0$ is observed. Further, null hypothesis is rejected when head 'H' is observed on tossing of an unbiased coin when $X=4$ is observed. The size of the test is: