Latest Elitmus Aptitude Question SOLUTION: Two identical cubes if one of them is painted pink on its 4 side and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting cu

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(#M40153916) ELITMUS Numerical Ability question probability Keep an EYE

Two identical cubes if one of them is painted pink on its 4 side and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting cube is 1/3 when we roll both the cube.

Asked In Elitmus VIVEK KUMAR (8 years ago)

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Aakrti jain  (8 years ago)

0 faces should be painted pink i.e all faces blue

Is this solution Helpfull? Yes (22) | No (2)  

Vikas Jha  (8 years ago)

Ans. 3faces
1/3=4/6*(probability of getting pink on second cube)
(probability of getting pink on second cube)=1/2
which we will get if we paint 3 out of 6 faces pink.

Is this solution Helpfull? Yes (9) | No (9)  

akansha  (8 years ago)

probablity of getting pink face = 1/3 = probablity of getting pink on one * probablity of getting pink on other (4/6*x/6).
where x = no of pink colour faced in second cube
x = 3

Is this solution Helpfull? Yes (6) | No (2)  

Dhwrwm Basumatary  (8 years ago)

let the second box be painted with pink x sides , thus (6-x) sides are painted blue.
We will have same colour when either both cubes show Pink or both blue;
As per question,
(4/6)*(x/6)+(2/6)*(6-x)/6=1/3
On solving you get a value of x=0;
So no sides in the 2nd cube was painted pink

Is this solution Helpfull? Yes (6) | No   

RANJAN FADIA  (8 years ago)

1/2*4/6 + 1/2 * (no. of pink faces on 2nd cube/6) = 1/3

=> 1/3 + x/12 =1/3

=> x= 0
so no of pink face on second cube = 0 Ans.

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VIVEK KUMAR  (8 years ago)

* getting pink face painted is 1/3( correction in question)

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farhat  (8 years ago)

can anyone say what wl be the ans of ds qus.........

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Ajitesh rai  (8 years ago)

Question was like...probablity of getting same colour is 1/3....

If 2nd cube has 0 pink faces , that means 6 bile faces...

1st cube = 4 pink , 2 blue
2nd cube = 0 pink , 6 blue

On 1st cube its alwas blue = 1

2nd cube , probablity of getting blue is =2 / 6 = 1/3 Ans

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KISHAN KUMAR  (8 years ago)

Explanation:
First cube has got 4 pink sides and 2 black sides.
Let the other cube got x sides pink and (6 - x) sides black.
Now when we roll both the dice, we can either pink on both cubes or black on both cubes.
Probability = 46×x6+26×6−x6=13
=4x+12−2x36=13
⇒x=0
So second cube should not have any pink faces at all.

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aniket gaurav  (8 years ago)

here goes my solution guys.Please correct me if i am wrong. Let 'a' number of face of the second cube be painted pink.Now we have for possible outcome
case 1:-pink on both the cubes.
case 2:-pink on 1st cube and not a pink face on second cube.
case 3:-blue on first cube and pink on second cube
case 4:-blue on 1st cube and not pink on second cube.
so for case 1: probability=4/6 *a/6
case 2:-probability:-4/6*(1-a/6)
case 3 :-probability= 2/3*a/6
case 4:- probability:- 2/6*(1-a/6)
so required probabilty:- case 1/(case 1+case 2 +case 3+ case 4) which is equal to 1/3
solving the equation we get a=3 i.e 3 faces of the second cube must be pink.
please correct me if i am wrong.

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farhat  (8 years ago)

Amit can complete a piece of work in 2.25 days. Badri takes double the time taken by amit.chetan takes double dat of badro,and das takes double dat of chetan to complete the same task. They are split into two groups(of one or more persons)such that the differnce b/w the times taken by the two group is maximum...what is the maximum difference between these group.......

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NAVEEN KUMAR  (8 years ago)

4.5@@@@@@farhat

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