Fill 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 ____

# Fill 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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### Solution:

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

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