A binomial experiment obviously needs to have only two possible outcomes. However, what if there are three outcomes but treated as two?
For example, would these two examples be binomial experiments?
A researcher conducts a poll for 200 people in which the options are "Yes", "No", or "Maybe". X is the number of people that answer "Maybe".
Someone spins a roulette wheel, which has green, black, and red spaces. X is the number of times the ball lands on a red space out of 20 trials.
It seems like there's only two outcomes for each. For the first example, the person either says "Maybe" or doesn't. For the second example, the ball lands on a red space or doesn't.
If they're not binomial experiments, why not?