Black and White

White marbles can only be removed in pairs, so since initially there are an odd number of white marbles in the jar, there will always be at least one white marble in the jar. Meanwhile, the black marbles can be removed one at a time, so in any scenario played out to its end, all the black marbles will eventually be removed, leaving a single white marble in the jar.

,their total number is an odd value,& only u can throw them if u hv a pair,so if all the pairs r thrown out them only 1 of the white marble will be still left.so,answer is white smile emoticon

consider simple example. that is 1 white marble and 2 black marble..then read the question ..think in that way.. left marble is white... ( 50 is double of 25, similar way 2 is double of 1.. comparison give the answer)

There's two possible endings in this case, since white can only be removed in pairs so there must be an odd number of whites at all times.

WWW - two whites will be removed and tossed

WBB -two blacks are removed and tossed -a white and black are removed, black is tossed, leaving a white and black. This is repeated and the other black is tossed, leaving only the white

getting rid of black is easy, getting rid of white is hard, there is a odd number of white and they can be removed in pairss

An intuition... Also, white marbles can be removed only in pairs.. As they r odd numbered, it'll b the last one obviously..

White marbles are 25. And the are thrown away only when they are in pairs. Hence the last marble remaining has to be white. If all the black marbles are still remaining (or any number for that matter) they will be thrown out in all successive trials

In the beginning, probability of getting black marbes is 2/3and white is 1/3. So of course we'll pick black more and throw them out. After some time both black and white will be left almost equally. So probability of getting two white marbles is less than probability of getting one white and one black marble. So white will be left out at last.

A single black marble can be thrown but white are always thrown in pairs hence all black can be thrown but as there are odd white marbles hence 1 marble will left in the end .

By looking at the value of the number of black and white marbles we can get a logic that black marbles are thrown in odd series pattern and the other in even series pattern while both are in the multiple of 1:2 ratio so logically when white marble is throw out as even series pattern it can have 24 thrown away marble and one left out marble which can never be thrown out. in a pattern of (24+1) white marbles.