# Symmetry of Pr[accept $H_0$∣$H_0$ is true] and Pr[reject $H_0$∣$H_0$ is true]

I still do not follow why here they say and where does the asymmetry of

Pr[reject $$H_0$$$$H_0$$ is true]

and

Pr[accept $$H_0$$$$H_0$$ is true] come from.

And they continue:" The $$p$$-value is a conditional probability where the condition that is assumed is the truth of $$H_0$$. It is calculated under this assumption; therefore, it makes no sense to ask

Pr[accept $$H_0$$$$H_0$$ is true]

because if you presume the truth of $$H_0$$ then the test statistic for whether to accept $$H_0$$ will not be a random variable--it will be fixed because you fixed it in your assumption."

I think that we also fix our assumption if we say symmetrically

Pr[reject $$H_0$$$$H_0$$ is true]