I this binomial? or No?
A gumball machine contains 25 gumballs - 9 red, 6 blue, 7 green and 3 yellow. You buy five gumballs from the machine.
X = number of green gumballs you get
To determine if this situation can be represented by a binomial, we need to check if it meets the criteria for a binomial experiment.
A binomial experiment requires the following conditions:
1. There are a fixed number of trials: In this case, you are buying five gumballs, so it satisfies this condition.
2. Each trial must have only two possible outcomes: In this case, the possible outcomes are getting a green gumball or not getting a green gumball, so it satisfies this condition.
3. The probability of success remains the same for each trial: In this case, the probability of getting a green gumball may change depending on how many green gumballs are left in the machine after each trial. So, this condition is not satisfied.
Therefore, the given situation of buying gumballs from the machine does not meet all the criteria for a binomial experiment.