Looking for something? Search my blog here!

About Me

My photo
I was born in Mesa and lived in both Arizona and Utah. I attended four different high schools and moved back to Mesa my senior year. I love to travel and explore; I studied abroad in England, Scotland and France and had a blast. Music and writing drive me. I am a hard worker, when I am motivated to be. I am a passionate girl who loves people. I love friends but I also love my quiet time. Most importantly, I love to Love. I am a writer, an educator, a learner, an explorer and yes, a Mormon. I am blessed and I love my life. I am currently serving a mission for the Lord through the Church of Jesus Christ of Latter-day Saints in Italy until January of 2016.

My motto

My Motto
Love and Be Loved

Thursday, January 16, 2014

Elementary Math post one: Goldfish!

The following is an assignment we did in class with a partner based on colored goldfish. The answer we gave to each question is in bold.

  • Number of healthy fish (not green): 37
  • Number of sick fish (green): 10
  • Total number of fish: 47
  • Compute the probability that a fish in your sample is healthy. 34/47
  • Compute the probability that a fish in your sample is sick. 10/47
  • Add together the probability of getting a sick fish plus the probability of getting a healthy fish. 1
  • Compute the probability of not getting a healthy fish. 10/47
  • Compute the probability of not getting a sick fish. 37/47
A park ranger estimates there are a total of three hundred fish in his pond. Using our numbers...
  • Estimate the number of healthy fish in the pond. 237
  • Estimate the number of sick fish in the pond. 63
If I wanted to catch and eat a fish out of the pond, how many fish must I catch to guarantee (100%) that I would catch at least 1 healthy fish? 64 fish

So what was the point of this activity? To be introduced into probability with a hands-on concept. As our first activity and lesson in the class, I really enjoyed it, even though I hate probability. 
When I first thought of probability, I thought of it mathematically looking like this (37:47) 
That example, however, is how odds are written. I might explain that in a later post. For now, I want to tell you what we learned.

We talked about probability. What does that mean? There are two different types of probability: experimental and theoretical. Experimental probability is what we did: we experimented with the outcomes and possible events. Theoretical probability is, in theory, how the outcome will turn out under ideal conditions. 
According to Bernoulli's Theorem, the more times an experiment is repeated, the closer the experimental probability comes to reaching the theoretical probability. That is why when doing an experiment, it is best to use large numbers or repeat the event many times to get the best results.

Well that's a wrap. It was brief and not very in depth, but if you look over our results from the fish activity then you should be able to put all of the pieces together. 

Check this out!