help!

- anonymous

help!

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- anonymous

yes

- anonymous

@Vocaloid

- anonymous

this is an assignment now, not an exam :)

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## More answers

- 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

ok, first find 2 coins in your house somewhere

- anonymous

ok now what? @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

0.25

- Vocaloid

right
probability of two cats = (probability of a cat)*(probability of a cat) = ?

- anonymous

0.25

- Vocaloid

right, now we add the together to get our answer for #1:
0.25 + 0.25 = ?

- anonymous

0.5

- Vocaloid

right, let's move on to #2

- anonymous

ok

- anonymous

??
@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

that should be a sufficient answer for 2, just don't copy my words directly, ok?

- anonymous

ok i wont copy.. i put it in my words, dont worry.

- anonymous

ok next ! #3

- Vocaloid

do you understand what I wrote, though? this is important

- anonymous

yes i understand

- 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

so, take your two coins. flip the first one, flip the second one, and tell me what you get for each one

- anonymous

i got heads and heads

- 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

what!

- Vocaloid

read the problem...

- Vocaloid

it wants you to flip both coins 50 times

- anonymous

ok and then

- Vocaloid

so, we just flipped both coins once, and now we do the same thing 49 more times

- anonymous

but what do i put for frequency

- Vocaloid

frequency is the number of times you get for each of the 4 outcomes

- Vocaloid

so keep flipping the coins and keep track of how many times each outcome happens

- anonymous

oh i get it okay... give me 3 minutes to do it :)

- Vocaloid

make sure to stop at 50

- Vocaloid

have fun

- anonymous

ok thanks

- anonymous

done!

- anonymous

i got ...
15
12
21
8

- Vocaloid

that adds up to 56 not 50

- anonymous

oh whoops.. hold on let me fix it

- anonymous

15
12
9
14

- Vocaloid

much better, now let's move on to #4

- anonymous

ok

- Vocaloid

take a look at your table, and add together:
Heads,Heads + Tails,Tails

- anonymous

29

- Vocaloid

now divide that by 50 and there's our answer

- anonymous

0.58

- Vocaloid

right

- 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

0.125

- Vocaloid

right
probability of 3 cats = (probability of cat)*(probability of cat)*(probability of cat) = ?

- anonymous

0.125

- Vocaloid

now add them together
0.125 + 0.125 = ?

- anonymous

0.25

- Vocaloid

right, that's our answer for #5

- anonymous

ok next!

- Vocaloid

for 6, all we need to do is use 3 coins instead of 2 coins, since we want 3 pets

- Vocaloid

and that should be it

- anonymous

ok so what do i do

- Vocaloid

that's it...

- anonymous

whats number 6?

- Vocaloid

read the problem again then read what I wrote...

- anonymous

i dont get it

- anonymous

@Vocaloid please answer .. its the last one

- 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

thats the answer?

- Vocaloid

pretty much, yes......

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