Code is below & uses or and and keyword inside if statement to determine the color.
color1 = "red"
color2 = "green"
def getColor(color1, color2):
    if color1 == "red" and color2 == "blue" or color1=="blue" and color2=="red":
        result = "fuchsia"
    elif color1 == "red" and color2=="green" or color1=="green" and color2== "red":
        result = "yellow"
    elif color1 == "green" and color2 == "blue" or color1 == "blue" and color2 == "green":
        result = "aqua"
    elif color1=="red" and color2=="red":
        result = "red"
    elif color1 == "blue" and color2=="blue":
        result = 'blue'
    elif color1 == "green" and color1=="green":
        result = "green"
    else:
        result = "Error"
    return result
print(getColor(color1, color2))
output:
$ python3 color.py 
yellow
A better approach use Enum in python to determine the color:
import enum
color1 = "red"
color2 = "green"
class Color(enum.Enum):
    RED = "RED"
    GREEN = "GREEN"
    BLUE = "BLUE"
def getColor(color1 :Color, color2:Color):
    red = False
    green = False
    blue = False
    red = color1==Color.RED or color2 == Color.RED
    green = color1==Color.GREEN or color2 == Color.GREEN
    blue = color1==Color.BLUE or color2 == Color.BLUE
    if red and blue:
        return "fuchsia"
    if red and green:
        return "yellow" 
    if green and blue:
        return "aqua"
    if color1 is Color.RED and color2 is Color.RED:
        return "red"
    if color1 is Color.GREEN and color2 is Color.GREEN:
        return "green"
    if color1 is Color.BLUE and color2 is Color.BLUE:
        return "blue"
    return "Error"
print(getColor(Color.RED, Color.GREEN))
print(getColor(Color.GREEN, Color.RED))
print(getColor(Color.GREEN, Color.GREEN))
Output:
$ python3 color.py 
yellow
yellow
green