Question

What equation represents the additive rule shown in the graph?
(3,12), (4,13), (5,14)

Answer 1

The additive rule states that for two independent events A and B, the probability of either event A or event B occurring is equal to the sum of their individual probabilities minus the probability of both events A and B occurring.

There is no graph given in the question, but if we assume that the graph shows a linear relationship between x and y with the given data points (3,12), (4,13), and (5,14), we can find the equation of the line using the slope-intercept form:

The slope (m) can be calculated as:
m = (y2 - y1) / (x2 - x1) = (13 - 12) / (4 - 3) = 1 / 1 = 1

Using the point-slope form of a linear equation (y - y1 = m(x - x1)), we can choose one of the points (3,12) and plug in the values to find the y-intercept (b):
12 - 12 = 1(3 - 3) => 0 = 0

The equation of the line is y = 1x + 0 or simplified as y = x.

However, this equation does not represent the additive rule. The additive rule is a probability equation used in probability theory and statistics, not in graphing linear relationships.