A Sticky Gum Problem Pow Essay Example

them and then if you would like to know how I got my answer just turn the page and you will see all of my work.

Problem 1: Why is three cents the most Mrs. Hernandez might have to spend? Well since she has three cents there is a good chance that she will get a match because in the machine, there are 2 colors and she has 3 cents and 2 kids to give matching gumballs. I said that she will certainly get a match because she has 2 colors to pick from and since she is 3 pennies she will get 2 out of 3. It’s like a probability.

For example: 1/3 of white, 1/3 of red

Problem 2: What is the most Mrs. Hernandez might have to spend at this machine to get matching gumball? The next day she is using four pennies because she has 3 colors. If she used 3 pennies worse case scenenario would be that she wouldn’t get 2 of the same color.

Problem 3: What is the most Mr. Hodges might have to spend? Well of course now there are 3 kids. If they all want the same color Mr. Hodges will need to use 7 pennies. This is because there are 3 colors and 3 kids. So a good way to use money wisely is by getting as many colors and then by the second drawing he will have 3 gumballs and they will all match.

These are my examples.

Mrs. Marler has passed a gumball machine and has only 3 cents but has a daughter traveling with her. She saw that the machine has two colors; blue

and green. Mrs. Marler wants the same color as her daughter but doesn’t care which color. What is the probability of getting a match for two people with two colors? Well a probability would be 1/ 2 blue and 1/ 2 green. How can Mrs. Marler get 2 colored gumballs to match?

Well first she needs 3 pennies. Then by the second penny she should have at least 1 color of each. By the 3rd penny she will have a color match because she will have 2 different colors and since there is only 2 colors in the machine there is a good chance for a match.

Example number 2:

Mr. Johnson has passed a gumball machine with his daughter and wife. They saw a machine with 3 colors. They were green, yellow and blue. Mr. Johnson and his family all want to match. But he has only 8 pennies. Will he be able to make a match that everyone can have? Well if there are 8 pennies and 3 colors he will get one match of each color by the 8th penny.

Example number 3:

Mrs. Smith is with her group of 3 people. They pass a gumball machine with 4 colors. The group has all decided to get a certain color. The colors of the gumballs are; blue, green, yellow and orange. How much pennies will Mrs. Smith need to spend if she only has 9 pennies?

Well Ms. Smith would need nine pennies because if she has 4 colors she would need 9 to get 3 of the same. While doing this POW I didn’t understand

it at the beginning but now I do and while I was doing it I didn’t see a pattern but I can feel that there is one I just don’t know what it is. I cant point my finger on it. But that’s okay because I know that soon ill figure it out. Well this concludes my Write up. Thank you for your time. Have a good day