Probability of a Campsite?

Question

A campsite is in the shape of a rectangle. The green region represents campsites with shade. The yellow represents campsites without shade. Your campsite is randomly assigned. What is the probability that your campsite has shade?

Area of green region: 1/2 * d * (d-2)
Area of yellow region: 2d-4(d)-1/2*d * (d-2)

Answer 1

Divide the total green (shaded) area by the sum of green (shaded) and yellow (unshaded) areas, and that will be the probability that you will be in a green (shaded) area.  If you want the answer in terms of a percent, multiply it by 100.

 

P(green) = (green area) / [(green area) + (yellow area)]

 

You can plug in the numbers and finish.