probability

There are 9 books on the shelves A,B,C.
We are searching for the probability of that there are 2 on A, 2 on B.

If the books are same, what is the probability?
If the books are different, what is the probability?

21 Answers

13
Двҥїяuρ now in medical c ·

@ mathe...
are there exactly 2 on A, 2 on B??

or...atleast... 2 on A, 2 on B[7]

1
gordo ·

guyz..if the buks are the same, (i assume the event space to be only 2 buks in A and B), it leaves us with jus one case isint it...ie 2 buks in A 2 in B and 5 in C... and the sample space is 3^9...so probability = 1/39...in the second case if they are different...(ie distinct)...we choose 5 buks to be placed in C in 9C5ways...from the rest of the 4 buks we have to group them into 2 groups...which can be done in 4C2*2 ways..so total event space = 9C5*4C2*2 and the sample space being 39
so probability is ( 9C5*4C2*2)/(39)

11
Subash ·

Bhargav (or) mathematcian(or) b55:exactly

refer post 13 or do you want it with more than two

in my method x,y,z are the numbers of books on the three shelves

so obviously x+y+z=9

we find non negative integral solutions of this one that is 11C2 (i hope)

out of these total cases we need those in which there are 2 books on
A and B

that gives us two solutions (2,2,5) this is one and the other one is 2 interchanged

this is all i cud explain

if this makes completely no sense then im talking nonsense

62
Lokesh Verma ·

subash..

you can have more than 2 books on those shelves..

I think that is the mistake you are making..

I am not able to understand your method at all :(

11
Subash ·

bhaiyya help

11
Subash ·

i solved like

x+y+z=9

no of non negative solns is 11C2

out of these only 2 are required (2,2,5) [interchange of 2s give another solution]

so ans should be 2/11C2

where am i going rong please help

13
Двҥїяuρ now in medical c ·

[5]

am i right!

13
Двҥїяuρ now in medical c ·

is it rite???

\frac{9!/5!2!2!}{3^9}

39
Dr.House ·

i wanted the answer

13
Двҥїяuρ now in medical c ·

then... do u think bhaaiya is right???[7]

was that the ans????

39
Dr.House ·

exactly

13
Двҥїяuρ now in medical c ·

what do u mean by books are different??

first one.. is it....28/729[7]

62
Lokesh Verma ·

answer wont change if you have same or different kinds of books.

62
Lokesh Verma ·

a+b+c=9

a>=2
b>=2
c>=0

a=x+2
b=y+2
c=z

so we need to solve

x+y+z=5

where x,y,z >0

so the number of solutions will be 7C2

You can find the probability by dividing by 39

13
Двҥїяuρ now in medical c ·

watz the ans???

39
Dr.House ·

ok thanks

11
Subash ·

yeah same prob in both cases

1
Ritika ·

d answer shud b d sem na....coz it's combinations acc. 2 me...not permutations.

13
Двҥїяuρ now in medical c ·

i din get the second part....[2]

watz the ans of the first one????

39
Dr.House ·

answer is same in both cases?

11
Subash ·

1/14

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