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.

Question

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.

anonymous · Answer

2.	Describe how to use two coins to simulate which two pets the family has.
3.	Flip both coins 50 times and record your data in a table like the one below.
 
Result	Frequency	   
Heads, Heads	 17	   
Heads, Tails	 10	   
Tails, Heads	 9	   
Tails, Tails	 14	   
Total	50	 

4.	Based on your data, what is the experimental probability that the family has two dogs or two cats? 
5.	If the family has three pets, what is the theoretical probability that they have three dogs or three cats? 
6.	How could you change the simulation to generate data for three pets?

anonymous · Answer

@phi @welshfella

phi · Answer

match heads with dog  and
tails with cat

phi · Answer

2. Describe how to use two coins to simulate which two pets the family has.

let # of heads represent # of dogs
    # of tails represent # of cats
use as many coins as there are pets in a family. In this case, use 2 coins

flip the two coins many times and record the results
the probability of a family having two dogs will be the number of times 2 heads appeared divided by the total number of flips

phi · Answer

4. Based on your data, what is the experimental probability that the family has two dogs or two cats? 

get the number of times two heads showed up
add to that the number of times  two tails showed up
divide that sum by 50 (the total number of flips)

that is the experimental probability that a family has two dogs or two cats