There is a bucket with lots of marbles. Some are red, some
are blue, some are green and some are orange. We don't know
the quantity of any. With your closed eyes how many minimum
number of marbles you will pick so as to 100% sure that
atleast 2 marbles have the same colors.




Answers were Sorted based on User's Feedback



There is a bucket with lots of marbles. Some are red, some are blue, some are green and some are or..

Answer / madhu

5 marbles

Is This Answer Correct ?    39 Yes 11 No

There is a bucket with lots of marbles. Some are red, some are blue, some are green and some are or..

Answer / ashish

Mr Ankur plz refer to question.

it says that hw many marbels need to pick up so that 2 will
be of same colour.
there 4 types of marbeles.suppose even if ech time u take
diff marbele still when u wl take out 5th one it will be
repeat thats it.

Is This Answer Correct ?    11 Yes 1 No

There is a bucket with lots of marbles. Some are red, some are blue, some are green and some are or..

Answer / ashish

Mr. Murali

you are not getting question.

exactly there is no guarantee we will pick diff marbeles
each time.
so it will be repeated at that time only so we hav to tell
min no of marbels to be taken so that we sure atleast 2 are
same.

so we assume that even if some one picks up diff marbeles
each time still when ever he or she will pick fifth one
then surely it will be repeated and thats the answer.

i hope u r getting me.

Is This Answer Correct ?    5 Yes 1 No




There is a bucket with lots of marbles. Some are red, some are blue, some are green and some are or..

Answer / ankur agrawal

Suppose there are r red marbles, b blue marbles, g green
marbles and o orange marbles. Then we need to find the
minimum no of marbles of a color i.e, max(r, b, g, o). The
answer will be max(r, b, g, o)+1.

For example, say there are 2 red marbles, 3 blue marbles, 4
greean marbles and 5 orange marbles. Now the max of any
color is 5. If we pick up 5 or less then 5 we will never be
sure that they are of different colors, as all of them can
be of same coloe orange. But if we pick 6 we will be sure
because none of the colors have 6 marbles.

Is This Answer Correct ?    12 Yes 9 No

There is a bucket with lots of marbles. Some are red, some are blue, some are green and some are or..

Answer / shreyansh

i will pick up 5 marbles and definately 1 will be having the
color same as to the others.


bt y do we need 2 answer others question.

its there problem they should have the ability 2 solve it
isnt it correct.

Is This Answer Correct ?    4 Yes 1 No

There is a bucket with lots of marbles. Some are red, some are blue, some are green and some are or..

Answer / abha

To be 100% percent sure it shd be 5 marbles I guess.

Is This Answer Correct ?    3 Yes 0 No

There is a bucket with lots of marbles. Some are red, some are blue, some are green and some are or..

Answer / sathesh

wehave to get 2 same colour marble........
already we have 4 marble of diffrerent colours.....we have to take one more to get the pair of anyone that already we having.............got it

Is This Answer Correct ?    3 Yes 1 No

There is a bucket with lots of marbles. Some are red, some are blue, some are green and some are or..

Answer / murali

Ashish, you are wrong..

there is not guarantee that we pick different colored marble
each time. with your closed eyes , u may pick the same
colored marble each time.

Ankur is right. we need to pick at least max(red , orange ,
blue , green ) + 1 marbles inorder to make sure that
atleast 2 marbles are same color.

Is This Answer Correct ?    3 Yes 2 No

There is a bucket with lots of marbles. Some are red, some are blue, some are green and some are or..

Answer / behz

Answer is: the whole bucket minus 3 pcs
that's the only way to make 100% sure that at least we have
1 color repeated

Is This Answer Correct ?    3 Yes 2 No

There is a bucket with lots of marbles. Some are red, some are blue, some are green and some are or..

Answer / nitish

The question is about best fit and worst fit. But to be 100 %
sure we have to consider the worst fit condition. So the
answer suitable is 5 marbles. Well you can see it in this
sense as when you pick up the marbles, you cannot actually
see what coloured marble are u picking up. So after picking
up 5 marbles only then you can be sure of having 2 marbles of
the same colour in your hand.

Is This Answer Correct ?    2 Yes 1 No

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