MathematicsFill in the blanksIn a game “odd man out” each of m≥2 persons, tosses a coin to determine who will buy refreshment for the entire group. The odd man out is the one with a different outcome from the rest. The probability that there is a loser in any game is ____

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In a game "odd man out" each of m≥2 persons, tosses a coin to determine who will buy refreshment for the entire group. The odd man out is the one with a different outcome from the rest. The probability that there is a loser in any game is ____


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    Solution:

    The correct answer is:
     There are m simultaneous coin tosses.
    The probability of outcome of all the tosses is 1 2 m  
    For one heads and rest all tails, the outcome is: m 1 1 2 m  
    The probability satisfying odd man out is: 2 m 1 1 2 m = m 2 m1  
     
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