Ack recorded the number of different colored marbles he has in a pouch. The results are provided in the table below.
Part A. Jack takes out a marble, then without replacing it, he takes out another marble from the pouch. What is the probability that Jack takes out a green marble and then an orange marble? Make sure to show your work for credit.
Part B. Jack has another jar of 275 marbles that have the same distribution as the table above. Based on the information in the table, determine the number of yellow marbles in Jack's jar of marbles. Make sure to show your work for credit.
Part C. Jack also likes to collect buttons. He has 5 bags of buttons. Some information about the number of buttons in each bag is provided below:
The fewest number of buttons in a bag is 21.
The greatest number of buttons in a bag is 29
The mean number of buttons in the bags is 27.
There are two modes for the number of buttons in each bag.
How many buttons are in each of Jack's five bags? (You should have 5 numbers) Make sure to show your work for credit.