Answer
See the picture.
$P(\lt4)=\frac{4}{9}$
Work Step by Step
$P(2)=P(4)=P(6)=x$
$P(1)=P(3)=P(5)=y$
Such that $x=2y$
$P(1)+P(2)+P(3)+P(4)+P(5)+P(6)=1$
$3x+3y=1$
$3(2y)+3y=1$
$9y=1$
$y=\frac{1}{9}$
$x=2y$
$x=\frac{2}{9}$
$P(2)=P(4)=P(6)=\frac{2}{9}$
$P(1)=P(3)=P(5)=\frac{1}{9}$
$P(\lt4)=P(1)+P(2)+P(3)=\frac{1}{9}+\frac{2}{9}+\frac{1}{9}=\frac{4}{9}$
