Question

ms. florina buys a bag of different - colored rubber bands. she randomly selects a rubber band, records the color, and returns it to the bag. she does this a total of 50 times and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands. based on this information, what is the probability that ms. florina will select a blue rubber band, return it to the bag, and then select a green rubber band? click the arrows to choose an answer from each menu. based on the given information, the probability that ms. florina will select a blue rubber band is choose... and the probability that she will select a green rubber band is choose... . the probability that she will select a blue rubber band, return it to the bag, and then select a green rubber band is choose... .

Explanation:

Step1: Calculate probability of blue

Total trials = 50, blue selections = 18. Probability = $\frac{18}{50}=\frac{9}{25}$.

Step2: Calculate probability of green

Green selections = 10. Probability = $\frac{10}{50}=\frac{1}{5}$.

Step3: Calculate combined probability

Since independent (with replacement), multiply the two probabilities: $\frac{9}{25} \times \frac{1}{5} = \frac{9}{125}$.

Answer:

Probability of blue: $\frac{9}{25}$; Probability of green: $\frac{1}{5}$; Combined probability: $\frac{9}{125}$