A bag contains 40 jellybeans with 5 different colors. Each color is equally represented. You are interested in randomly drawing one jellybean at a time and checking the color before eating it. You want to know how many red jelly beans you will pull out of the bag during the first 10 draws. Can the probability be found by using the binomial probability formula? Why or why not? (1 point) Yes. The trials are fixed and the probability of success remains the same for every trial. No. The events are dependent, and the \( 5 \% \) guideline cannot be applied to this situation. No. The trials are fixed, but the events are independent. Yes. The events are dependent; however, the \( 5 \% \) guideline can be applied to this situation.

Yes, you can indeed use the binomial probability formula in this case! In your bag of 40 jellybeans, since there are 5 different colors with equal representation, the probability of drawing a red jellybean remains consistent across each trial, making the trials independent. As long as the total number of draws does not exceed 5% of the overall jellybean count, the conditions for binomial distribution are met. So go ahead and calculate those probabilities for your red jellybean haul! To give you a fun perspective, let's think about a similar situation with rolling dice. Each roll independently gives you just one chance to get that lucky number. The more you roll, the more data you gather about your ‘odds of winning’! With jellybeans, it's much the same—just colorful, chewy, and way more delicious! So grab that bag and enjoy your statistical adventure.