This animation is used to show the Probability vs Suprise Graph using manim.

information_suprise.py

class Suprise(Scene):
    """
    This animation is used to show the Probability vs Suprise Graph.
    The graph shows the inverse relationship between Probability and
    Suprise.
    """

    def construct(self):
        
        # Define the graph axes
        axes = Axes(
                x_range = [0, 1, 0.1], 
                y_range = [0, 7, 1],
                tips=False,
                axis_config = {"include_numbers": True},
                x_length=8, 
                y_length=5)
        
        # Add axes labels
        y_label = axes.get_y_axis_label(Text("Suprise").rotate(90 * DEGREES).scale(0.5), edge=LEFT, direction=LEFT, buff=0.5)
        x_label = axes.get_x_axis_label(Text("Probability").scale(0.5), edge=DOWN, direction=DOWN, buff=0.5)
        
        # Create a value tracker
        t = ValueTracker(1)
        
        # Define the Suprise function
        def func(x):
            return math.log2(1/x)
        
        # Plot the graph
        graph = axes.plot(func, x_range=[0.01, 1, 0.001], color=BLUE)
        
        # Define the title
        title = Title(
            r"Graph of Surprise: $y=\log\left(\frac{1}{x}\right)$",
            include_underline=False,
            font_size=40,
        )
        
        # Define the dots and use the value tracker to make their position dynamic
        initial_point = [axes.coords_to_point(t.get_value(), func(t.get_value()))]
        dot = Dot(point=initial_point, color=GREEN)
        
        initial_point2 = [axes.coords_to_point(t.get_value(), 0)]
        dot2 = Dot(point=initial_point2, color=GREEN)

        dot.add_updater(lambda x: x.move_to(axes.c2p(t.get_value(), func(t.get_value()))))
        dot2.add_updater(lambda x: x.move_to(axes.c2p(t.get_value(), 0)))
        
        # Define the line
        line = Line(dot.get_center(), dot2.get_center()).set_z_index(-1)
        line.add_updater(lambda x: x.become(Line(dot.get_center(), dot2.get_center()))) 
        
        # Animation sequence for title and graph
        self.play(Create(title))
        self.play(Create(axes))
        self.play(Create(x_label))
        self.play(Create(y_label))
        self.play(FadeIn(graph))
        
        # Add the dots and line
        self.add(dot)
        self.add(dot2)
        self.add(line)
        
        # Update the value tracker every frame
        self.play(t.animate.set_value(0.01), run_time=8)
        
        # Wait for 3 seconds then end the animation
        self.wait(3)