Player 1st Color Prob 2nd Color Prob Product Win/Lose
1 Red 1/4 Red 1/4 1/16 L
1 Red 1/4 Blue 1/4 1/16 L
1 Red 1/4 Orange 1/4 1/16 L
1 Red 1/4 Yellow 1/4 1/16 L
1 Blue 1/4 Red 1/4 1/16 L
1 Blue 1/4 Blue 1/4 1/16 L
1 Blue 1/4 Orange 1/4 1/16 L
1 Blue 1/4 Yellow 1/4 1/16 W
1 Orange 1/4 Red 1/4 1/16 L
1 Orange 1/4 Blue 1/4 1/16 L
1 Orange 1/4 Orange 1/4 1/16 L
1 Orange 1/4 Yellow 1/4 1/16 L
1 Yellow 1/4 Red 1/4 1/16 L
1 Yellow 1/4 Blue 1/4 1/16 W
1 Yellow 1/4 Orange 1/4 1/16 L
1 Yellow 1/4 Yellow 1/4 1/16 L
1/8 Probability of Win
7/8 Probability of Lose
Player 1st Color Prob 2nd Color Prob Product Win/Lose
2 Red 1/4 Red 1/6 1/24 L
2 Red 1/4 Blue 1/6 1/24 L
2 Red 1/4 Orange 1/6 1/24 L
2 Red 1/4 Yellow 1/2 1/8 L
2 Blue 1/4 Red 1/6 1/24 L
2 Blue 1/4 Blue 1/6 1/24 L
2 Blue 1/4 Orange 1/6 1/24 L
2 Blue 1/4 Yellow 1/2 1/8 W
2 Orange 1/4 Red 1/6 1/24 L
2 Orange 1/4 Blue 1/6 1/24 L
2 Orange 1/4 Orange 1/6 1/24 L
2 Orange 1/4 Yellow 1/2 1/8 L
2 Yellow 1/4 Red 1/6 1/24 L
2 Yellow 1/4 Blue 1/6 1/24 W
2 Yellow 1/4 Orange 1/6 1/24 L
2 Yellow 1/4 Yellow 1/2 1/8 L
1/6 Probability of Win
5/6 Probability of Lose
Player 1st Color Prob 2nd Color Prob Product Win/Lose
3 Red 1/6 Red 1/6 1/36 L
3 Red 1/6 Blue 1/6 1/36 L
3 Red 1/6 Orange 1/6 1/36 L
3 Red 1/6 Yellow 1/2 1/12 L
3 Blue 1/6 Red 1/6 1/36 L
3 Blue 1/6 Blue 1/6 1/36 L
3 Blue 1/6 Orange 1/6 1/36 L
3 Blue 1/6 Yellow 1/2 1/12 W
3 Orange 1/6 Red 1/6 1/36 L
3 Orange 1/6 Blue 1/6 1/36 L
3 Orange 1/6 Orange 1/6 1/36 L
3 Orange 1/6 Yellow 1/2 1/12 L
3 Yellow 1/2 Red 1/6 1/12 L
3 Yellow 1/2 Blue 1/6 1/12 W
3 Yellow 1/2 Orange 1/6 1/12 L
3 Yellow 1/2 Yellow 1/2 1/4 L
1/6 Probability of Win
5/6 Probability of Lose
John

My calculator said it, I believe it, that settles it
From
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