Latest Google Aptitude Question SOLUTION: You're playing a football on a desert island and want to toss a coin to decide the advantage. Unfortunately, the only coin on the island is bent and seriously biased. How can you u

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(#M40017856) GOOGLE Numerical Ability question Make a fair decision Keep an EYE

You're playing a football on a desert island and want to toss a coin to decide the advantage. Unfortunately, the only coin on the island is bent and seriously biased. How can you use the biased coin to make a fair decision?

Asked In Google Vijayakumar (11 years ago)

Unsolved Read Solution (13)

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Read Solution (13) :

Axay  (11 years ago)

keep the coin in one hand , show your two hands and let the one decide where it is.

Is this solution Helpfull? Yes (22) | No   

Samik Mukherjee  (11 years ago)

The only possible solution I can think of is:
At first an area of 3x3 sq ft will be made in the sands and the coin will be hid in it. After doing so, one person from each team will be blindfolded and will be made to search the hidden biased coin. Whoever gets the coin first will win the 'toss'.

Is this solution Helpfull? Yes (7) | No (9)  

Sudharsan  (11 years ago)

The chance of one toss producing a head is different from the chance of it producing a tail, but the chance of two tosses producing a head then a tail is the same as the chance of two tosses producing a tail then a head. Allocate head-then-tail to one team and tail-then-head to the other, then keep tossing the coin in groups of two, ignoring double heads or double tails, until you get a result.

Is this solution Helpfull? Yes (6) | No   

Praharshit  (11 years ago)

We can use the coin as a whole, select two small 1ftX1ft areas A,B. Ask person from one team to place the coin in one of the areas A or B. Then let the other team guy choose A or B, if coin is guessed correctly he wins, or he loses.

Is this solution Helpfull? Yes (5) | No (1)  

Saumya Srivastava  (11 years ago)

A member of team A randomly without seeing drop the coin into one of the two small boxes. Shuffles the box and ask Team B member to select. Since both the tosser and the other is opposite team is unaware of correct box, it serves the complete purpose of tossing a coin.

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

FAISAL RIZWAN  (11 years ago)

on the Hand I will toss

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

Aditya Maharshi  (11 years ago)

I would use ranking algorithm so that we could justify the probability of winning the toss.

Is this solution Helpfull? Yes | No (3)  

Devendra Gour  (11 years ago)

it seems to be contradictory "desert island" how is it possible??

Is this solution Helpfull? Yes | No (4)  

mohd nazar mubeen  (11 years ago)

you can't predict still what will be the result after tossing the coin ...hide the face and toss it.no body knows the right answer to this thus fair decision.

Is this solution Helpfull? Yes | No (3)  

Nitesh Khandelwal  (10 years ago)

Simply give the coin in other hand and tell him to toss d coin and choose opposite of bent side...probably u will win d toss..
OR
There is no desert island

Is this solution Helpfull? Yes | No   

RAHUL UBHALE  (10 years ago)

The chance of one toss producing a head is different from the chance of it producing a tail, but the chance of two tosses producing a head then a tail is the same as the chance of two tosses producing a tail then a head. Allocate head-then-tail to one team and tail-then-head to the other, then keep tossing the coin in groups of two, ignoring double heads or double tails, until you get a result.

Is this solution Helpfull? Yes | No   

Ahmad Baig  (10 years ago)

On a desert surface, the coin will not bounce after hitting ground as in the case of a hard surface. The biased-ness of a coin comes into play when it bounces of a hard surface. In the air, the result is still unpredictable. One can simply toss it on sand.

Or

If the coin is seriously biased, don't use it, let the captains play odd-even with their fingers.

Is this solution Helpfull? Yes | No   

sravani  (10 years ago)

calculate the probability and set according to that probability instead of original...

Is this solution Helpfull? Yes | No   

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