Question

In a group, the 80% is married. 75% of the married have a work. 5% does not have a work and are not marrid

Answer 1

What percentage does not have a work?

Answer 2

25% I think

Answer 3

Is that right?

Answer 4

The last 25% is without

Answer 5

actually i got a different answer, we know this much
80% = married
75 % = married and work
5% = married and do not work

from this we know that out of the 80% of the people, only 5% do not have a job.
so now let look at the remaining 20% of non married people

Answer 6

we know this much
5% = people who arent married and do not work

so far this is all be know from the info provided but the question doesnt mention anything about the remaining 15%
but, we can reason out that the 15% much be people who are not married but work
there fore 15% = not married but work

Answer 7

finally, out of the 80% of married people, only 5% do not have jobs and out of the 20% of single people only 5% do not have job.
to conclude, there are a total of 10% of people that do not have jobs,
10% is ur answer

Answer 8

i am sorry that it was so long but i hope that you understood it,
any questions?

Answer 9

But the problem says
Married: 80% (of the total)
With work: 75% (of the married, so this is 75% of 80, so it would be a 60% of the total)
Without a work: 5% (of the total, so itwould be 25% of a 20%)
Single: 20%

Answer 10

I am right until there?

Answer 11

Ok, perfect, so a 10% has no work

Answer 12

wait

Answer 13

But the 75% apply to the married people, so it is 75% of 80%, (60)

Answer 14

ok and the 5% does not have a work and are not marrid, is that 5% of 100%? or something else?

Answer 15

the quesiton doesnt specify if that 5% is of the 100% or the remaining 20%

Answer 16

"Finally, 5% are not married and neither have a work" I think it is of the 100%

Answer 17

i agree with you that it's 75% of 80%, ill change that now, but before i do, i would think 5% of 100% as well

Answer 18

yea i think it's 25% as well, sry for mis reading the question

Answer 19

but atleast u got a 2nd opinion in the end!

Answer 20

Hahaha thanks :)

Answer 21

The hard question is: if one person has a work, which is the probability of him being married

Answer 22

\[P(A\B) = \frac{ P(A intersecting with B)}{ B }\]

Answer 23

Is that useful for this one?

Answer 24

im not familiar with that equation, but ik you dont need it, it can be reasoned out

Answer 25

P(A)=3/4 (probability of being married P(B)= 3/4 (probability of having a job)

Answer 26

Mmm...75% of the 75%

Answer 27

or 75% of 60%

Answer 28

im a calc student so idk statistic equations lol but ik that i can reason it out lol 1 sec

Answer 29

id say 60% are married and work, 15% arnt married but work. there fore we find
60/75 x 100 and that should give us our answer

Answer 30

i got 80%

Answer 31

wait

Answer 32

Ok

Answer 33

yep i got 80%

Answer 34

Can you explain me again the logic? You want to calculate the 75% of the 60%, but why?

Answer 35

kk, i did it in a calculus way though xD but u seem smart enough to understadn it :)
Let x = total number of people
y = 75% of x (number of people working)
and let z = 60% of x (number of people married and working)

therefore z/y times 100 = the percentage of married and working compared to just working)

Answer 36

therefore z/y of 100 =
60% of x / 75% of x times 100
the x cancels so
60/100 / 75/100 times 100
60/75 times 100

Answer 37

if that makes sense xD

Answer 38

does that make any sense?

Answer 39

Yes :D thanks

Answer 40

The last question is what percentage is married inside the ones that does not have a job

Answer 41

So... 75-100
x-80

Can that apply? 80*75 divded by 100

Answer 42

I mean x-25

Answer 43

Let me formulate that again

Answer 44

x=total
y=75% of x
z=25% of x

Answer 45

75/25=3*