Module 07: Project Option 1
Instructions
In this experiment, you will be using two coins as a simulation for a real-world compound event.
Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.
1. What is the theoretical probability that the family has two dogs or two cats?
A dog or a cat will have a 50/50 chance of being adopted. There are three options: 50 percent for one dog and one cat, 25 percent for two dogs, and 25 percent for two cats. Adding the probabilities of finding two of the same dogs gives you a 50 percent shot.
2. Describe how to use two coins to simulate which two pets the family has.
You will have two fair sided coins if you used two coins to simulate the potential results of the family's dogs. Each coin will have one side with a dog and one with a cat (or heads and tails, where you would assign each pet a side of the coin).
3. Flip both coins 50 times and record your data in a table like the one below.
Result Frequency
Heads, Heads 15
Heads, Tails 9
Tails, Heads 19
Tails, Tails 7
Total 50
4. Based on your data, what is the experimental probability that the family has two dogs or two cats?
22/50.
5. If the family has three pets, what is the theoretical probability that they have three dogs or three cats?
50%.
6. How could you change the simulation to generate data for three pets?
You could add another coin.
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