Step 1 :The question is asking whether the given probability experiment is a binomial experiment or not. A binomial experiment is a statistical experiment that has the following properties: 1. The experiment consists of n repeated trials. 2. Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure. 3. The probability of success, denoted by P, is the same on every trial. 4. The trials are independent; the outcome on one trial does not affect the outcome on other trials.
Step 2 :In this case, we are selecting four cards from a standard 52-card deck without replacement and recording the number of nines selected.
Step 3 :This does not satisfy the conditions for a binomial experiment because the trials are not independent. The probability of drawing a nine changes with each draw, as cards are not replaced.
Step 4 :Therefore, the answer is \(\boxed{\text{B. No, because the trials of the experiment are not independent since the probability of success differs from trial to trial.}}\)