<transcript><audio_16>fully positively dependent on each other you're just looking at them in different ways that way what we're gonna do if you're gonna say what's the probability that I have more than five dollars and more than 40 cents it's simply going to</transcript><transcript><audio_17>be the minimum of the two we then have signed called the maximum which is the full negative so this is where when the one thing happens the other thing does not happen so if you flip a coin if</transcript><transcript><audio_18>heads happens tails can't can not happen so it's fully negative on on that extent but let's maybe explore this a little bit more like I said the maximum and the minimum copula are our boundaries there</transcript><caption><image_19>The image is a screenshot of a math worksheet with three columns and three rows. The first column is labeled "Fractional-Marking Indicator Graphs" and the second column is titled "Bondedness / Expense Loss". 

The first row of the worksheet has three equations written in red and blue text. The equations are written in black text and are arranged in a grid-like format. The second row has two equations written on it, one in blue and one in red. The third row has a list of equations written below the equations.

Each equation is written in a different color - blue, red, and pink. The blue equation has a value of 1, while the red equation has an equation of 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52</caption><transcript><audio_20>are our extreme cases so let's look at the minimum one in more detail okay if X is equal to this you know function of Y let's say a y plus B and a M and B are</transcript> fully positively dependent on each other you're just looking at them in different ways that way what we're gonna do if you're gonna say what's the probability that I have more than five dollars and more than 40 cents it's simply going to be the minimum of the two we then have signed called the maximum which is the full negative so this is where when the one thing happens the other thing does not happen so if you flip a coin if heads happens tails can't can not happen so it's fully negative on on that extent but let's maybe explore this a little bit more like I said the maximum and the minimum copula are our boundaries there are our extreme cases so let's look at the minimum one in more detail okay if X is equal to this you know function of Y let's say a y plus B and a M and B are
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