Final answer:
The probability questions relate to finding the chance of landing on a particular area within a rectangle. The calculations require the knowledge of the total area and the area of events like landing on stars or specific stars at the corners.
Step-by-step explanation:
The question involves calculating probabilities and understanding the concept of area in a rectangle. To calculate probabilities involving the area of objects in geometry, one follows the formula: probability (P) of an event equals the area of the event space divided by the total area of the sample space.
- To find P(landing on a star), we need the total area of stars and the area of the rectangle.
- P(not landing on a star) can be determined by subtracting the probability of landing on a star from 1 since the total probability must equal 1.
- For P(landing on a star that is on the corner), we only consider the area of the corner stars, assuming that they are distinguishable and count individually in the total star area.
To provide an answer, further information is needed, such as the number of stars and their distribution within the rectangle.