A.)Determine the probability that the sale chosen at random is a house for sale between 3 and 4 years old....
B.) What are the odds that the house is less then 9 years old
AGE: # Houses Sold:
1-2 1280
3-4 1580
5-6 1650
7-8 1510
9-10 1500

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- anonymous

- schrodinger

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- anonymous

okay, lets do this together. what is the total number of houses?

- anonymous

7520

- anonymous

okay, what is the number of houses between 3 and 4 years old?

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## More answers

- anonymous

1580

- anonymous

okay. so what is the probability that any one of the 1580 houses will be chosen, given that there are 7520 total houses?

- anonymous

5940?

- anonymous

i have no idea

- anonymous

do you know anything about probability and sample sets?

- anonymous

not yet

- anonymous

then why are you doing this problem if you don't know probability?

- anonymous

because i need to learn how

- anonymous

okay. then I will explain probability to you.
suppose you have a dice. you roll it. what are the chances that it will land on the number 4?

- anonymous

1/6

- anonymous

yes. so there are one in 6 chances that the dice will roll 4.
what are the chances that the dice will roll an even number?

- anonymous

1/2

- anonymous

right. so what were are calling chances, are formally called probability.
probability of outcome that you want = set of the outcomes you want/set of all outcomes

- anonymous

so set of outcomes you want for the dice to roll even number is {2,4,6}. set of all outcomes is {1,2,3,4,5,6}.

- anonymous

ok i understand...so in relation to that problem

- anonymous

so what is the set of outcomes you want?

- anonymous

in my problem?

- anonymous

I dont know what that means

- anonymous

okay in the dice problem, the set of outcomes you wanted was of size 3. the set of all outcomes was of size 6. so the probability of even number was 3/6 or 1/2 correct?

- anonymous

correct

- anonymous

so what is the desired outcome in your problem?

- anonymous

I dont know how to figure that out

- anonymous

its given in the problem. the desired outcome is you choose a house 3-4 years old. so how many houses are 3-4 years old?

- anonymous

1580

- anonymous

and what is the set of all outcomes?

- anonymous

7520?

- anonymous

right. you have to choose one house and its set is all the houses in that area. So the set size is 7520.
so what is the probability that you choose one of the 1580 houses?

- anonymous

7520/1580...then simplify?

- anonymous

no no. probability is the set of desired/ total. you have done total/desired.

- anonymous

probability cannot be greater than 1.

- anonymous

soo 1580/7520 then simplify

- anonymous

right.

- anonymous

okay so .21

- anonymous

im sure you did the calculation right.

- anonymous

now, for the other part. what are the odds that you choose a house less than 9 years old?

- anonymous

what is the desired outcome?

- anonymous

6020

- anonymous

i know that it is some number to 75

- anonymous

okay so desired outcome/total outcome = ?

- anonymous

6020/7520

- anonymous

.80

- anonymous

ok. you have your answers.

- anonymous

so the answer is what to 75?

- anonymous

what to 75? what does that mean?

- anonymous

because in my problem it says what are the odds the house is less then 9 years old....it has a fill in the blank of ? number to 75

- anonymous

oh okay. then the number you are looking for is 0.8 times 75

- anonymous

60

- anonymous

your probability is 0.8. it can be expressed as 4/5 or 80/100 or 60/75 in your case.

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