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A survey of 250 people showed that 150 own a house, 180 own a car and 230 own at least of of these ( a house or a car ) 

 

1. Draw a venn diagram that depic the information above ? 

 

Does the 230 are in the middle section where both a and c are ? 

 

b . What is the probabilty that a randomly selected person from the survey owns a care but not a house ? 

 

c. What is the probabilty that a randomlly selected person from the survey own a house and a car ? 

 

d. what is the probabilty that a randomly selected person from the survey does not own a house nor a car ? 

 

e; What is he probabilty that a randomly selected person from the survey owns only a house ( but not a car ) or only a car ( but not a house ) ? 

 

IM SORRY i know its a lot of question, but I just need help and example or formula to understand how to do my others question, and Its the first time I M DOING THIS 

 

VENN DIAGRAM its so CONFUSING ! :( 

 

Thank yous o much for the one who has the patience to at least read everything  coolwinksadangel

 
 Nov 7, 2015
 #1
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+5

We first need to find the number in the intersection of the Venn Diagram [ the number owning both].....this is given by

 

(Number owning H and C)  =   (Number owning H) + (Number owning C) - (Number owning H or C)

 

(Number owning H and C)  =          150                   +       180                    -        230

 

=  100

 

Here's the Diagram.......

 

 

b.  P(H but not C) =  50 / 250   = 1/5 = 20%       [ remember that 20 people fall "outside" the circles ]

 

c.  P( H and C)  = 100 / 250   = 2/5   = 40%

 

d. P (Neither)  = 20 / 250   = 2/25  = 8%

 

e. P(H but not C) =   same as b     ....... P(C but not H) = 80 / 250  = 8/25  = 32%

 

Hang in there.....this is a little difficult to grasp.....!!!!!

 

 

 

cool cool cool

 Nov 7, 2015
edited by CPhill  Nov 7, 2015

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