You are in a team of twelve people. The team will stand m a straight line facing

Question

You are in a team of twelve people. The team will stand m a straight line facing forward (so that you can see the backs of the people in front of you), and someone will tape a piece of paper to your back. The paper will be either red or blue. Each person in the line must then say either red or blue. Each person in the line can only speak once, but they can speak in any order. Everyone else in the line can hear the colour you announce. The team wins if at least eleven people say the colour that is on their back. Describe a winning strategy.

Explanation / Answer

Total team is 12

Given only two colours

Which are red & blue

Each person has to choose only one colour

Person can be random one

Winning strategy =

= 2c1*2c1/12c11

= 1/3

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