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 probablity 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...

Answer 1

The probability of selecting a blue rubber band is 18/50 and the probability of selecting a green rubber band is 10/50. The probability of selecting a blue rubber band, returning it to the bag, and then selecting a green rubber band is 180/2500.

Step-by-step explanation:

To find the probability of selecting a blue rubber band, we need to divide the number of blue rubber bands by the total number of rubber bands. In this case, there are 18 blue rubber bands out of a total of 50 rubber bands, so the probability of selecting a blue rubber band is 18/50.

Similarly, to find the probability of selecting a green rubber band, we divide the number of green rubber bands by the total number of rubber bands. There are 10 green rubber bands, so the probability of selecting a green rubber band is 10/50.

To find the probability of selecting a blue rubber band, returning it to the bag, and then selecting a green rubber band, we multiply the probabilities of each event. So the probability is (18/50) * (10/50) = 180/2500.

Answer 2

0.072 = 7.2%

Step-by-step explanation:

probability that Ms. Florina will select a blue rubber band:

We have 18 blue of a total of 50, so probability = 18/50 = 0.36

probability that Ms. Florina will select a green rubber band:

We have 10 blue of a total of 50, so probability = 10/50 = 0.2

The probability that she will select a blue rubber band, return it to the bag,

and then select a green rubber band:

We just need to find the product of the probabilities above:

Probability = 0.36 * 0.2 = 0.072 = 7.2%