Problema Solution
A coin is tossed onto a large rectangular region inside the large rectangle is a small rectangle. It is equally likely to land on any point in the region.
a. Write a model that gives the probability that the coin will land in the small rectangle.
b. Evaluate the model when x = 10.
Dimensions of the large rectangle is length=4x-4, width=3x
dimensions of the small rectangle is length=x+2, width=x
Answer provided by our tutors
Probability = (x+2)(x)/(4x-4)(3x)
When X = 10, probability = 11%
Probability = (10+2)(10)/(40-4)(30)
= (12)(10)/(36)(30)
=120/1080
=0.111
= 11 %