Solution 3

Part I

Make a prediction first, by looking at the picture.

Area of region 1/Total area = probability of a dart landing in region 1.

Because probability = desired outcome/all possible outcomes.

Area of region 1= ¹r2=¹202=400¹ cm2.

Total area =¹r2=¹402=1600¹ cm2.

Area of region 1/Total area =400¹ cm2/1600¹ cm2=1/4=.25

Discussion: What does the answer mean? Does this answer seem reasonable?

Part II

Since Region 1 is 400¹ cm2 or 1/4 of the total area of 1600¹ cm2, region 2 must be 3/4 of the area or 1200¹ cm2. So, the probability of a dart, thrown at random, landing in region 2 is .75.