Final answer:
To represent the possible pathways through the maze, sketch an area model using rectangles and circles. Use the number of pathways that lead to a specific outcome divided by the total number of pathways to find the probability of each outcome.
Step-by-step explanation:
To sketch an area model for the maze pathways, you can use a rectangle to represent the sample space. Inside the rectangle, draw two overlapping circles to represent the events of belonging to a club (C) and working part time (PT).
To find the probability of receiving $1, you need to determine the number of pathways that lead to receiving $1 and divide it by the total number of possible pathways through the maze. Let's say there are 5 pathways that lead to receiving $1, and there are 20 possible pathways through the maze. The probability of receiving $1 would be 5/20, which simplifies to 1/4.
Similarly, you can find the probability of receiving a cupcake and the probability of not receiving a photo frame by counting the number of pathways that lead to each outcome and dividing it by the total number of possible pathways.