Question

help!

Answer 1

yes

Answer 2

@Vocaloid

Answer 3

this is an assignment now, not an exam :)

Answer 4

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?

Answer 5

ok, first find 2 coins in your house somewhere

Answer 6

ok now what? @Vocaloid

Answer 7

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) = ?

Answer 8

0.25

Answer 9

right

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

Answer 10

0.25

Answer 11

right, now we add the together to get our answer for #1:

0.25 + 0.25 = ?

Answer 12

0.5

Answer 13

right, let's move on to #2

Answer 14

ok

Answer 15

??
@Vocaloid

Answer 16

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

Answer 17

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

Answer 18

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

Answer 19

ok next ! #3

Answer 20

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

Answer 21

yes i understand

Answer 22

#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

Answer 23

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

Answer 24

i got heads and heads

Answer 25

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

Answer 26

what!

Answer 27

read the problem...

Answer 28

it wants you to flip both coins 50 times

Answer 29

ok and then

Answer 30

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

Answer 31

but what do i put for frequency

Answer 32

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

Answer 33

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

Answer 34

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

Answer 35

make sure to stop at 50

Answer 36

have fun

Answer 37

ok thanks

Answer 38

done!

Answer 39

i got ...
15
12
21
8

Answer 40

that adds up to 56 not 50

Answer 41

oh whoops.. hold on let me fix it

Answer 42

15
12
9
14

Answer 43

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

Answer 44

ok

Answer 45

take a look at your table, and add together:

Heads,Heads + Tails,Tails

Answer 46

29

Answer 47

now divide that by 50 and there's our answer

Answer 48

0.58

Answer 49

right

Answer 50

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) = ?

Answer 51

0.125

Answer 52

right

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

Answer 53

0.125

Answer 54

now add them together

0.125 + 0.125 = ?

Answer 55

0.25

Answer 56

right, that's our answer for #5

Answer 57

ok next!

Answer 58

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

Answer 59

and that should be it

Answer 60

ok so what do i do

Answer 61

that's it...

Answer 62

whats number 6?

Answer 63

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

Answer 64

i dont get it

Answer 65

@Vocaloid please answer .. its the last one

Answer 66

"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....

Answer 67

thats the answer?

Answer 68

pretty much, yes......