anonymous
  • anonymous
help!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
yes
anonymous
  • anonymous
@Vocaloid
anonymous
  • anonymous
this is an assignment now, not an exam :)

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anonymous
  • anonymous
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? 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 Heads, Tails Tails, Heads Tails, Tails 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?
Vocaloid
  • Vocaloid
ok, first find 2 coins in your house somewhere
anonymous
  • anonymous
ok now what? @Vocaloid
Vocaloid
  • Vocaloid
ok, keep them with you, we're going to need them pretty soon let's start with #1: the theoretical probability that the family will have two dogs or two cats first, the problem tells us that the probability of getting a dog and a cat are equally likely, so probability of a dog = 1/2 probability of a cat = 1/2 so, probability of two dogs = (probability of a dog)*(probability of a dog) = ?
anonymous
  • anonymous
0.25
Vocaloid
  • Vocaloid
right probability of two cats = (probability of a cat)*(probability of a cat) = ?
anonymous
  • anonymous
0.25
Vocaloid
  • Vocaloid
right, now we add the together to get our answer for #1: 0.25 + 0.25 = ?
anonymous
  • anonymous
0.5
Vocaloid
  • Vocaloid
right, let's move on to #2
anonymous
  • anonymous
ok
anonymous
  • anonymous
?? @Vocaloid
Vocaloid
  • Vocaloid
we're going to use a coin to represent each pet. the probability of getting heads on a coin is 1/2 and tails is also 1/2, just like dog = 1/2 and cat = 1/2 so, we'll flip the coins one by one. a heads represents a dog and a tails represents a cat. so, as an example, if we flip heads on the first coin and tails on the second, that represents the family getting a dog and then a cat
Vocaloid
  • Vocaloid
that should be a sufficient answer for 2, just don't copy my words directly, ok?
anonymous
  • anonymous
ok i wont copy.. i put it in my words, dont worry.
anonymous
  • anonymous
ok next ! #3
Vocaloid
  • Vocaloid
do you understand what I wrote, though? this is important
anonymous
  • anonymous
yes i understand
Vocaloid
  • Vocaloid
#3 is asking you to do the simulation I just described take both coins, and flip them one at a time. now, take a look at each row of the table: Heads, Heads means the first coin is heads and the second coins is heads Heads, Tails means the first coin is heads and the second coin is tails Tails, Heads, means the first coin is tails and the second coin is heads Tails, Tails, means the first coin is tails and the second coin is tails
Vocaloid
  • Vocaloid
so, take your two coins. flip the first one, flip the second one, and tell me what you get for each one
anonymous
  • anonymous
i got heads and heads
Vocaloid
  • Vocaloid
right, so we put a tally mark in the first row, "Heads, Heads". now do the same thing 49 more times and fill out the table
anonymous
  • anonymous
what!
Vocaloid
  • Vocaloid
read the problem...
Vocaloid
  • Vocaloid
it wants you to flip both coins 50 times
anonymous
  • anonymous
ok and then
Vocaloid
  • Vocaloid
so, we just flipped both coins once, and now we do the same thing 49 more times
anonymous
  • anonymous
but what do i put for frequency
Vocaloid
  • Vocaloid
frequency is the number of times you get for each of the 4 outcomes
Vocaloid
  • Vocaloid
so keep flipping the coins and keep track of how many times each outcome happens
anonymous
  • anonymous
oh i get it okay... give me 3 minutes to do it :)
Vocaloid
  • Vocaloid
make sure to stop at 50
Vocaloid
  • Vocaloid
have fun
anonymous
  • anonymous
ok thanks
anonymous
  • anonymous
done!
anonymous
  • anonymous
i got ... 15 12 21 8
Vocaloid
  • Vocaloid
that adds up to 56 not 50
anonymous
  • anonymous
oh whoops.. hold on let me fix it
anonymous
  • anonymous
15 12 9 14
Vocaloid
  • Vocaloid
much better, now let's move on to #4
anonymous
  • anonymous
ok
Vocaloid
  • Vocaloid
take a look at your table, and add together: Heads,Heads + Tails,Tails
anonymous
  • anonymous
29
Vocaloid
  • Vocaloid
now divide that by 50 and there's our answer
anonymous
  • anonymous
0.58
Vocaloid
  • Vocaloid
right
Vocaloid
  • Vocaloid
let's move to #5: probability of 3 cats or 3 dogs going back to what we said earlier... probability of cat = 1/2 probability of dog = 1/2 so probability of three dogs = (probability of dog)*(probability of dog)*(probability of dog) = ?
anonymous
  • anonymous
0.125
Vocaloid
  • Vocaloid
right probability of 3 cats = (probability of cat)*(probability of cat)*(probability of cat) = ?
anonymous
  • anonymous
0.125
Vocaloid
  • Vocaloid
now add them together 0.125 + 0.125 = ?
anonymous
  • anonymous
0.25
Vocaloid
  • Vocaloid
right, that's our answer for #5
anonymous
  • anonymous
ok next!
Vocaloid
  • Vocaloid
for 6, all we need to do is use 3 coins instead of 2 coins, since we want 3 pets
Vocaloid
  • Vocaloid
and that should be it
anonymous
  • anonymous
ok so what do i do
Vocaloid
  • Vocaloid
that's it...
anonymous
  • anonymous
whats number 6?
Vocaloid
  • Vocaloid
read the problem again then read what I wrote...
anonymous
  • anonymous
i dont get it
anonymous
  • anonymous
@Vocaloid please answer .. its the last one
Vocaloid
  • Vocaloid
"How could you change the simulation to generate data for three pets?" our simulation used 2 coins and made data for 2 pets, so if we wanted 3 pets, we would use 3 coins instead of 2....
anonymous
  • anonymous
thats the answer?
Vocaloid
  • Vocaloid
pretty much, yes......

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