Answer:
Probability that we both lose = [tex]\frac{1}{19}[/tex]
Step-by-step explanation:
If I bet on red and you bet on black, we both lose the bet means roulette wheel stops at green slot.
So, probability that we both lose = Probability of getting green slot on the wheel
Probability of getting the green slot = [tex]\frac{\text{Number of green slots}}{\text{Total number of slot on the wheel}}[/tex]
= [tex]\frac{2}{18+18+2}[/tex]
= [tex]\frac{2}{38}[/tex]
= [tex]\frac{1}{19}[/tex]
Therefore, probability that we both lose = [tex]\frac{1}{19}[/tex]