MHB Question regarding a probability mass function of a random variable

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To understand the probability mass function of a random variable, it's essential to start with the definitions of mean and variance. Calculating the probabilities for specific outcomes, such as p(0) and p(1), is also crucial. These foundational concepts will guide the analysis of the random variable. A clear grasp of these elements will facilitate further exploration of the probability mass function. Engaging with these basics is the first step in tackling the problem effectively.
dylbester
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Thank you for your time, I really appreciate it

I have no idea where to even begin
 

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dylbester said:
I have no idea where to even begin
You should begin with the definition of mean and variance, and also with finding $p(0)$ and $p(1)$.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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