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Investigation #2: Designing a Spinner

My partner and I created our spinner by following the criteria that we were given. In the criteria, it talked about how we needed three colors red, blue, and white. We also needed to have the probability of getting a red OR odd number to be 100%. And then to also have the probability of blue AND three to be 20%. By including that criteria, my partner and I only included three colors on the spinner. Then we put the odd numbers on the colors. So, we put the number three on blue,
since the probability of blue AND three had to be 20%. Then we put the number one on red, since it would have to be an odd number OR red 100% of the time. Lastly, we put the odd number five on white, since that was the color needed and we needed all odd numbers.

I know that our spinner met the criteria because as listed above, we went through it and made sure we were doing everything right. But also, in our results, it was very close to what we needed. We took 100 trials. We needed 40% white, 20% blue, and 40% white. In our results, white and red were very close, especially since they were supposed to be about the same. And blue was the least. 41 times it landed on red, 44 times it landed on white, and 15 times it landed on blue. Also if you look at our spinner, you can see that red and white are about the same size and blue was half of the size of one of them. That was a good sign because the probability of blue was supposed to be half of red or white.

There could be more than one acceptable spinner design. Something that they will have in common are the colors and the fact that they have odd numbers on their spinner. But something that could be different is the odd numbers. They could've chosen different odd numbers to put on their spinner. Also, if we were talking about the outcomes, they would be very close to each other but most likely have different numbers. Another way is that you could split the colors into parts. For example, you could design it as 10% blue, 20% red, 20% white, 10% blue, 20% red, 20% white.


PEER EVALUATION:

math content- 9/10 because you didn't put any counter examples and your explanation wasn't as clear as possible.

PC- 5/5
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