Answer
$P(T)=\frac{2}{3}$, $P(H)=\frac{1}{3}.$
Work Step by Step
If $T$=tails and $H$=heads, then if $P(H)=x$, then $P(T)=2x.$
We know that $P(T)+P(H)=1\\2x+x=1\\3x=1\\x=\frac{1}{3}.$
Therefore $P(T)=2x=\frac{2}{3}$, $P(H)=x=\frac{1}{3}.$