Drag Race Christmas Tree Design

[michael_mke]

1. Homework Statement
Question Details:
A "Christmas Tree lighting system is used to start a drag race. The inputs to the system include a start button, a reset button, and two start line sensors. The outputs include lines for Red, Yellow, and Green lights and two Fault lights. When the operator pushes the start button, the red, yellow, and green lights turn on and then off sequentially in equal time increments. If one (or both) of the start line sensors is activated before the green lights comes on, the corresponding fault light is energized, the red, yellow and green lights go off and the system waits for a reset signal. If there is a good start, the green light remains on until the reset button is pressed.

I need help in developing a SM (State Machine) chart for this design.

Here's what I got. I'm pretty sure that it's incorrect though.
Inputs:
SB = Start Button
R = Reset Button
F1 = Start Line Sensor 1
F2 = Start Line Sensor 2

Outputs:
Rd = Red Light
Ye = Yellow Light
Gr = Green Light
FL1 = Fault Light 1
FL2 = Fault Light 2

I have attached the picture of my SM Chart that I created.

 

[michael_mke]

Does anyone have a clue on how to do this?
I really would appreciate the help. Thanks