1. Math Project By: Tj Troup

2. Problem Each of three hats has colored marbles inside. The first hat has 5 green and 4 red. The second has six blue, and five red, and the third has 5 green and five blue marbles. If a student were to pick one marble randomly from each hat, determine which hat the student would most likely pick a green marble.

3. Reasoning: Part 1 By re- reading the problem, I realized that the probability of a green marble is greatest in the first hat, being 5/9. The second hat has no green at all, and the third hat has 5/10, or ½ probability for pulling a green marble.

4. Part 2 Determine the fewest number of marbles, if any, and the color of these marbles that could be added to each so that the probability of a green marble is one half.

5. Part 2 I would add 1 red to the first hat. This would make it so there are 5 red and 5 green marbles, making the probability of a green 5/10 or ½. I would add 11 green to the second hat making the total 22. That makes the probability of a green, 11/22 or ½. The third hat needs none added to it to make the probability of a green marble ½.