Louis has 3 red marble, 5 blue marbles, 4 yellow marbles, and 8 black marbles in a bag. He records the colors marble he pulls from the bag and puts the marbles back in the bag 14 times. The table below shows the frequency he pulled each color.
Red 2
Blue 4
Yellow 2
Black 6
Experimental =
Theoretical probability =
Experimental probability:
- Red: 2/14 = 1/7
- Blue: 4/14 = 2/7
- Yellow: 2/14 = 1/7
- Black: 6/14 = 3/7
Theoretical probability:
- Red: 3/20
- Blue: 5/20
- Yellow: 4/20
- Black: 8/20
So the theoretical probability would be:
- Red: 3/20 = 0.15
- Blue: 5/20 = 0.25
- Yellow: 4/20 = 0.2
- Black: 8/20 = 0.4