Question

a fundraising event offered people a chance to pay $3 to go through a corn maze (shown at the right) in a field in the fall. the maze either led to nothing or a prize of $10. if participants can only move forward and when they come to a fork in the maze they are equally likely to take any one of the paths, what is the probability that they will win money?
a. 0.40
c. 0.44
b. 0.42
d. 0.50

Explanation:

Step1: Count total paths

Count the total number of end - paths. There are \(5\) end - paths.

Step2: Count winning paths

Count the number of paths that lead to a money prize. There are \(2\) paths that lead to a money prize.

Step3: Calculate probability

The probability \(P\) of winning money is the number of winning paths divided by the total number of paths. Using the formula \(P=\frac{\text{Number of winning paths}}{\text{Total number of paths}}\), we have \(P = \frac{2}{5}=0.40\)

Answer:

a. \(0.40\)