A bag contains 64 balls of eight different colours. There are eight of each colour (including red).

Ajeet Kumar   9 years AGO

total balls = 64
red balls = 8
now being sure of 3 red balls means (8-3)balls is to be present in the bag
so 64-5= 59

Like? Yes (6) | No (1)  

aishi sur   9 years AGO

Select atleast 3 red balls , so (7 colours*8 balls each)+3 red
= 56+3=59 balls

Like? Yes (5) | No   

Sukanya   9 years AGO

If he picks the balls other than red also after 56 balls picked,there will be only red balls left.
So 59 balls should be picked.

Like? Yes (5) | No (1)  

Sruthi Sreejan   9 years AGO

There are a total of 64 balls which includes 8 red balls.
After taking 59 balls of any color then we have 5 balls left. so we can make sure that 8-5=3 red balls will surely be in the set of the balls taken.
So 56+3=59.

Like? Yes (3) | No   

Dinesh Kumar   9 years AGO

There are 8 balls of red colors
So, others are 8*7=56 balls
then at least 3 balls picked up.
therefore,3 more balls require then we can say that we have at least 3 red balls
i.e... 56+3=59 balls
opt-6

Like? Yes (3) | No   

sanjeev kumar sharma   9 years AGO

total=64
select 3 red ball out of 8( 8-3)=5
then 64-5=59
ans will be 59

Like? Yes (2) | No   

nirmal das   9 years AGO

if we pick up all 7*8=56 balls without looking and all are non red then we must pick up another 3 balls to be sure .... then at least we need to pick up 59 balls to be sure of selecting 3 red balls...

Like? Yes (1) | No   

SAGNIK DATTA   9 years AGO

first 56 balls are ofdifferent clour so next three are definitely red

Like? Yes (2) | No (1)  

Arvind kumar   9 years AGO

To select 3 red ball ,we will have to pick at least 59 balls. 56 of them are of different color i.e. 8 balls of each of 7 different color.

Like? Yes (2) | No (1)  

anubhav   9 years AGO

to ensure that we have to assume the worst case and the worst case is that when red balls comes at last

Like? Yes (2) | No (1)  

Ajay Kumar Gupta   9 years AGO

The first 56 balls could be of all colours except red. This would leave 8 balls, all of which are red. so any three chosen would be red.

Like? Yes (1) | No   

Shubham Raj   9 years AGO

well if you need to be sure you picked 3 red balls then you would need to pull out 59 balls. 56 would give you 8 of the 7 other colours and then the 3 red balls.

Like? Yes (1) | No   

Abhinav Mishra   9 years AGO

Lets assume we pick all other balls except the red ball then there are 56 chances. now after that only 8 red balls left. If you pick up the ball there will be only red balls this gives 56+3 = 59

Like? Yes (1) | No   

ankit chavhan   9 years AGO

lets suppose there are 8 balls of each color
8 8 8 8 8 8 8 8
c1 c2 c3 c4 c5 c6 c7 c8

Lets assume C8=red color ball.

So, to be sure that 3 balls drawn are of same color .

we select all the 7balls of 7 different colors i.e 7*8=56.

Now, to be sure that the 3 balls drawn are of same red color. we select 3 balls from C8.

Therefore, ANS... 56+3=59

Like? Yes (1) | No   

RASHMI C S   9 years AGO

after 56 trials we can ensure that balls of all colors except for red will be selected in the worst case scenario. So after 3 more trials we will definetly get 3 red balls.

Like? Yes (1) | No   

narmadha   9 years AGO

out of 64 total balls 8 are red. Once you start picking taking into consideration that red was never picked, we should pick 64-8=56 balls and +3 so 59 to be sure that atleast 3 are red.

Like? Yes (1) | No   

Sunil Kumar Yadav   9 years AGO

Here is 56 other balls, after selecting 56 ball we will sure that either we have picked all different colors balls or red balls.
So including next 3 balls it is sure that we have at least 3 red balls.

Like? Yes (1) | No   

amit kumar sahu   9 years AGO

at least 3 red balls = 3 out of 8
remaining balls = 56
so answer= 3+56 = 59

Like? Yes (1) | No   

Abhishek Verma   9 years AGO

Let's go with the worst case.

Pick 8 balls -- This lot does not contain any red ball
pick 8 balls -- This lot does not contain any red ball again .
pick 8 balls -- This lot does not contain any red ball again .
pick 8 balls -- This lot does not contain any red ball again .
pick 8 balls -- This lot does not contain any red ball again .
pick 8 balls -- This lot does not contain any red ball again .
pick 8 balls -- This lot does not contain any red ball again .
pick 8 balls -- This lot does not contain any red ball again .

Up til now we have picked 56 balls of colors other than red.


Now the bag will contain exactly 8 red balls and
we pick 3 more red balls .

thus picking a total of 59 balls.

Like? Yes (1) | No   

Nandkishor jaiswal   9 years AGO

(n-1)*8+3
(8-1)*8+3
7*8+3
56+3
59
------sol= 59

Like? Yes (1) | No   

pranathi   9 years AGO

excluding red balls we have 56 balls of other colors. In the next 3 picks it is sure that the balls are red so it takes 59(56+3) picks to be sure of selecting 3 red balls.

Like? Yes (1) | No   

shubham singh   9 years AGO

there are 56 balls having colours other than red. therefore we need three more balls to be sure of picking 3 red balls.

Like? Yes (1) | No   

Devendra Marghade   9 years AGO

There are 8 balls of 8 colors each.
If all the picked balls are of different 7 colors other than red, then possibility of selecting at least one red ball will be after picking 7*8=56 balls
So to be sure of picking 3 red balls we must pick 56+3=59 balls
Option 6)

Like? Yes (1) | No   

TAUSEEF AMEEN   9 years AGO

As there are 64 balls available of different 8 colour....
Red ball is also 8 in number...
to be sure of selecting 3 red balls we must have to withdraw (8*7+3) balls..
hence 59 balls

Like? Yes (1) | No   

shivam dubey   9 years AGO

we select 64-8 = 56 bolls in which no red bolls

but there should be 3 red bolls so 56+3 = 59

59 bolls must be selected in which 3 red bolls definately occur

Like? Yes (1) | No   

adarsh   9 years AGO

because 8*7 +3=59 assume first we draw all balls from different colors then draw three red balls

Like? Yes (1) | No   

SHAHARBAN O   9 years AGO

least number of picking is in such a way that all the 3 balls chosen first to be red.

Like? Yes (1) | No   

umang agarwal   9 years AGO

bcoz in 56 there is possibility of all ball drown accept the red.
so there is 3 more chance to draw 3 red ball. so there are 59 no. chance to draw the ball from bag.

Like? Yes (1) | No   

vikash kumar das   9 years AGO

take the worst case..let at the first attempt i pick 1 red ball n for next turn we get all other 56 different colour ball,then after we get our next 2 balls.
therefore the minimum ans is 59 i,e.6

Like? Yes (1) | No   

sanjukta   9 years AGO

there are 56 other balls so min 56 + 3 to ensure we have 3 red balls with us

Like? Yes (1) | No   

shikha   9 years AGO

8 red ball their...it is sure that their is 54 balls are of others colours...we have to pick at least 3 red colour ball to be sure..add 3 in 56+3=59..in this must have least three red baall

Like? Yes (1) | No   

REVATHIVENKATESAN   9 years AGO

The first 56 balls could be of all colours except red. This would leave 8 balls, all of which are red. so
any three chosen would be red.

Like? Yes (1) | No   

marline   9 years AGO

56 balls indicate 8 balls each of 7 colours, remaining 3 balls belong to the colour that is left out.

Like? Yes (1) | No   

Rishav Kumar   9 years AGO

the worst case: if we pick 56 balls and no red is there then remaining 8 balls are surely red
so, 56+3= 59 to sure 3 red balls

Like? Yes (1) | No   

himanshu jaiswal   9 years AGO

For selecting 3 red ball without looking we have to assume that of the 8 ball which is red among them 5 is left
And this can happen only if 5 red ball remain inside the bag
So the probability will be 64-5 = 59

Like? Yes (1) | No   

Padmapriya.R   9 years AGO

5 failure attempt may happen. to ensure 3 red balls,56+3=59 balls

Like? Yes (1) | No   

Lakhi kant Roy   9 years AGO

The first 56 balls could be of all colours except red. This would leave 8 balls, all of which are red. so any three chosen would be red.so,atleast we have to pick 59 balls.

Like? Yes (1) | No   

Shivani Mahajan   9 years AGO

there are 64 balls in the bags and 56 balls aren't of colored. so if we want to get atleast 3 red balls then we have to pick 56+3(red)=59 balls

Like? Yes (1) | No   

YASWANTH REDDY   9 years AGO

we have to pick all balls of remaining colours along with 3 red balls to be sure of picking atleast 3 red balls...so the minimum number of balls to be picked is 56+3=59

Like? Yes (1) | No   

Rahul Navariya   9 years AGO

otal balls=64
among 8 red balls we have to pick atleast 3
so we without considering other colors we can leave 5 balls in the bag so we can get total 7 types of colored balls and three balls of remaining type....
So we can pick 64-5=59 balls

we can get minimum 3 red balls

Like? Yes (1) | No   

Parthasarathi.S   9 years AGO

Other colors 56
Red color 3
Sure red colors 56+3=59

Like? Yes (1) | No   

PIYUSH AGRAWAL   9 years AGO

here 8*8 given
but (64-8) =56
3 red ball
56+3=59

Like? Yes (1) | No   

Rupkatha Banerjee   9 years AGO

for the worst case all balls are picked which are not red ie. 7*8=56 and then 3 red balls
so 56+3=59 balls are to picked to be sure selecting 3 red balls

Like? Yes (1) | No   

N.Vennela Rani   9 years AGO

The first 56 balls could be of all colours except red. This would leave 8 balls, all of which are red

Like? Yes (1) | No   

sumitha saseendran   9 years AGO

worst case scenario, you dont get any red balls at all:
so you'll have to finish picking all the other colours and reach red at the end, hence 59

Like? Yes (1) | No   

Tharani    9 years AGO

we should consider the worst case scenario
as per this rule,out of 64 balls
at the 59th time we'll surely get the 3 red balls

Like? Yes (1) | No   

K.Anitha   9 years AGO

there will be atleast 3 red balls in 59 since 56 balls are of different colours

Like? Yes (1) | No   

priya darshini reddy   9 years AGO

total number of balls - 8 balls + 3 you must select =

64 - 8 + 3 = 59

Like? Yes (1) | No   

Mugesh sivagnanam Krishnapillai   9 years AGO

total number of balls=64
total red balls =8
total balls other than red=56
to be sure to select 3 red balls,
56+3=59.

Like? Yes (1) | No   

anjugam   9 years AGO

7*8= 56 Other colour balls
Remaining 8 red balls
To take 3 red balls Propability 3
Total =56+3=59

Like? Yes (1) | No   

Muthuraj M   9 years AGO

8 colors each contain 8 balls. To make sure we select 3 red balls, we must first select all balls from all other colors which is 7*8=56. Then we can select 3 balls. 56+3=59. Now it is sure that, these balls would contain 3 red balls.

Like? Yes (1) | No   

shaweta   9 years AGO

Here total balls are 64
in which red balls = 8

But we have to take atleast 3

So without considering other colors we can directly leave 5 balls in the bag


finally we can pick 64-5=59 balls in which we can get minimum 3 red balls.

Like? Yes (1) | No   

Arjun Tiwari   9 years AGO

we assume that the maximum no. of balls of different colours except red may be 8*7=56
56+3=59

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Tripti Bhadra   9 years AGO

8*7=56 balls of 7 different colours and 3 balls of red colour so56+3=59

Like? Yes (1) | No   

RAVAL   9 years AGO

thre are 64 balls in which 8 red balls
so, out of 64 , minimum 59 balls are choosen such that 3 red balls must choosen.

Like? Yes (1) | No (1)  

Dinni   9 years AGO

59
total balls = 64
red balls = 8
now being sure of 3 red balls means (8-3)balls is to be present in the bag
so 64-5=59

Like? Yes (1) | No (1)  

Sonu kumar   9 years AGO

TOTAL NUMBER OF BALLS=64
TOTAL NUMBER OF RED BALLS =8
IF WE SELECT 56 BALLS THEN MAY ALL ARE DIFFERENT COLOUR EXCEPT RED.
IF I SELECT 59 BALLS THEN WE SURE THAT 3 RED BALLS IS THERE. SO WE HAVE TO PICK ATLEAST 59 BALLS OUT OF 64 BALLS.

Like? Yes (1) | No (1)  

Amit chaturvedi   9 years AGO

64-59=5
i.e 5 remaining ball
59 balls mean atleast 3 red ball
8*7+3

Like? Yes (1) | No (1)  

atul vishwakarma   9 years AGO

becoz there is a possibility that that 3 red balls can be before 59 but we cannot say that with surity that it will have 3 red balls

Like? Yes (1) | No (1)  

Rohit Agrawal   9 years AGO

To make sure we have 3 red balls minimum, we must make sure we dont leave more than 5 red balls..so answer is 64-5=59

Like? Yes (1) | No (1)  

BONAM SRINIVAS   9 years AGO

total 64 balls of 8 different colors (i.e., 8+8+8+8+8+8+8+8 )
assume that first seven times you have got different colors (think for 7 times 7*8=56 times completed)
now last 8 balls remaining that is surely red balls from now next 3 times you get exactly 3 red balls total becomes 59 times so ans=59 times

Like? Yes (1) | No (1)  

Krupali Anandrao Dhanvijay   9 years AGO

total balls = 64
red balls = 8
now being sure of 3 red balls means (8-3)balls is to be present in the bag
so 64-5=59

Like? Yes (1) | No (1)  

Moumita Choudhury   9 years AGO

The first 56 balls could be of all colours except red. This would leave 8 balls, all of which are red. so any three chosen would be red.

Like? Yes (1) | No (1)  

ramya   9 years AGO

The first 56 balls could be of all colours except red. This would leave 8 balls, all of which are red, so any three chosen would be red.

Like? Yes (1) | No (1)  

Ayush AGarwal   9 years AGO

8 balls in each color including red and we have to get 3 red balls so 8+3

64-8+3=59 answer

Like? Yes (1) | No (1)  

sravani   9 years AGO

out of 64...
56 will be other than red and include 3 red balls with these
we get, 56+3=59...
59 will be the least number ...

Like? Yes (1) | No (1)  

praveendas   9 years AGO

there should be no other cases when we select 3 red balls ..
after selecting 56 then next three cases will add up to give the minimum number to pick up 3 red balls

Like? Yes (1) | No (1)  

bhaskar   9 years AGO

even if u dont get any red ball upto 56 th turn next 3 balls would be red for sure

Like? Yes (1) | No (1)  

anureet kaur sidhu   9 years AGO

even if the first 56 balls are not red then atleast the next 3 balls will be red. so 56+3=59.

Like? Yes (1) | No (1)  

shubham   9 years AGO

first the person will 56 ball in which their is no red and if he pick 3 ball more then their is a surety of red ball

Like? Yes (1) | No (2)