Stats :
In the population of adults the proportions of people in various marital status are :
Single(Forever alone) =35%,Married =60%,Divourced =5%
A person is selected at random.If that person is not divourced.Find the probability that he or she is singlle (i.e A/B) }

Question

Stats :
In the population of adults the proportions of people in various marital status are :
Single(Forever alone) =35%,Married =60%,Divourced =5% 
A person is selected at random.If that person is not divourced.Find the probability that he or she is singlle (i.e A/B) }

amistre64 · Answer

assume 100 people;  how many people are single or married?

uri · Answer

35 are single,60 are married and 5 are divourced.

amistre64 · Answer

and since we are only concerned with not divorced;  that leaves us the set of single or married

the total number of single or married is 95, correct?

and how many of that set are single?

uri · Answer

Okay yes 95 are married from which 35 are single.

amistre64 · Answer

|dw:1372683481260:dw|

then 35 out of 95 gives a probablitity if 35/95

uri · Answer

I don't undertand that diagram but 35/95 yeah..

amistre64 · Answer

the diagram is simply saying that:  given the set B|dw:1372683811441:dw|

the probability of A within B is just:  the number of A within B, divided by the total number of B

amistre64 · Answer

so in this case:  the set of not divorced consists of single + married

the number of single within that set consists of single,  therefore:

$$P(single|(married~or~single))=\frac{single}{married+single}$$

uri · Answer

Got it so,35/95 =0.3684210526

amistre64 · Answer

yep, which is usually rnded to 4 decies

uri · Answer

So the end? The probablitity is 0.3684

amistre64 · Answer

thats the way i read it yes;  some options love to put that into % format ... but its fine the way it is

uri · Answer

Okay Thankyouuuu $\Huge \color{magenta}{ \ddot \smile } $

amistre64 · Answer

good luck ;)

uri · Answer

:3