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Mathematics 20 Online
OpenStudy (samigupta8):

From an urn containing 6 balls,3 white and 3 black ones, a lerson select at random an even nunber of balls (all the different ways of drawing an even number of balls are considered equally probable, irrespective of number). Then the probability that there will be the same number of black and white balls among them is

OpenStudy (samigupta8):

Person*

OpenStudy (samigupta8):

@ganeshie8

ganeshie8 (ganeshie8):

hey

OpenStudy (samigupta8):

Hello! Would you pls help?

OpenStudy (samigupta8):

I actually added up the probability when he draw 2 balls ,4 balls and 6 balls..

OpenStudy (samigupta8):

For two balls v can write that it shud be 3C1*3C1/6C2

OpenStudy (samigupta8):

@ganeshie8 will u help?

OpenStudy (samigupta8):

@knov

OpenStudy (knov):

wait a sec. i on the other question.

OpenStudy (knov):

okay, so there are 3 even numbers in number 6.

OpenStudy (knov):

2, 4, 6. the person will select randomly from these numbers.

OpenStudy (knov):

from here we are looking for the probability of same number of black and white balls.

OpenStudy (samigupta8):

Yes ..he can either select two or four or six balls out of the bag

OpenStudy (knov):

yes.

OpenStudy (knov):

lets look at the case in which the random even number is 4

OpenStudy (knov):

in this case have four over four combinations.

OpenStudy (samigupta8):

3C2*3C2 is favourable case

OpenStudy (knov):

we*

OpenStudy (samigupta8):

6C4 r total cases.

OpenStudy (knov):

you mean including the all cases ?

OpenStudy (samigupta8):

* symbol is for multiplication

OpenStudy (samigupta8):

No ! Just drawing four balls out of 6

OpenStudy (knov):

yes, you are correct.

OpenStudy (samigupta8):

So u intend to say this that probability of drawing four balls out of 6 is 3C2*3C2/6C4 Similarly we can solve for the rest two cases where balls drawn are two or six

OpenStudy (samigupta8):

and then we shud add them all to get the ans

OpenStudy (knov):

no, that would be just one tho.

OpenStudy (knov):

i just miscalculated it. sry

OpenStudy (knov):

it's 6^four

OpenStudy (knov):

so here we are looking for all b b w w cases.

OpenStudy (samigupta8):

Did u read my last post ?

OpenStudy (samigupta8):

Is that what u want to do next?

OpenStudy (knov):

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