# Elementary Statistics (working with random sample)

#### agumble

##### New member
The problem states:

What is the probability of finding a home in the USA advertised on this website that is less than $100,000 or under 2000 square feet? (At this point, we have a chart with data in it. The data is represented in thousands of dollars) Chart Prices------------------- Less than 2000 sq. Feet ----------------------2000 sq. ft or more ------------------totals ___________________________________________________________________________________________ less then 100 ----------------------13 -------------------------------------------- 3 ----------------------------------16 Between 100 and 300 -------------92 --------------------------------------------42 --------------------------------- 134 More than 300-----------------------5 --------------------------------------------45 ------------------------------------50 __________________________________________________________________________________________ Totals ----------------------------110 -------------------------------------------90----------------------------------200 Now, I found the first part!! 16/200=.08 or 8% probability of finding a home$100,000 or less.

(First part described)
16 is total of houses under $100,000/total number of houses 200 Second part 110/200=.55 or 55% probability of finding a home less then 2000 sq. feet (2nd part described) There are a total of 110 houses that are less then 2000 sq. feet. I took this number and divided by the total number of houses in the chart (200) and got my answer for this part. THIS IS WHERE I NEED HELP!!!!! Now that I have figured out the two answers independently of one another, I do not know how to write an answer or even go about finding the answer for the two sections combined. Again, the problem states "What is probability of finding a home in the USA advertised on this website that is less than$100,000 or under 2000 sq. feet"?

Can you help??

#### tkhunny

##### Moderator
Staff member
Add up all the pieces and don't count anything twice.

16 + 110 - 13 = 113

Or...

5+92+13+3 = 113