Answer
$P(2)=P(4)=P(6)=\dfrac{1}{9}$;
$P(1)=P(3)=P(5)=\dfrac{2}{9}.$
Work Step by Step
If $P(2)=P(4)=P(6)=x$, then $P(1)=P(3)=P(5)=2x.$
We know that:
$P(1)+P(2)+P(3)+P(4)+P(5)+P(6)=1\\2x+x+2x+x+2x+x=1\\9x=1\\x=\dfrac{1}{9}$
Thus,
$P(2)=P(4)=P(6)=\dfrac{1}{9}$, and $P(1)=P(3)=P(5)=\dfrac{2}{9}.$
