Question 316472

Calculate the areas of each region.
The total target area is,
{{{Atot=pi*3^2=9*pi}}}
{{{Ar=pi*1^2=pi}}}
{{{Aw=pi*2^2-pi*1^2=(4-1)*pi=3*pi}}}
{{{Ab=pi*3^2-pi*2^2=(9-4)*pi=5*pi}}}
The probabilities for each color is determined by the amount of area in each region compared to the total area.
{{{P(R)=(pi)/(9*pi)=1/9}}}
{{{P(W)=(3*pi)/(9*pi)=3/9=1/3}}}
{{{P(B)=(5*pi)/(9*pi)=5/9}}}
So, the probability of a blue region pick is 5/9.