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1963 AMC 12 Question 36

AMC12 · 1963 AMC 12

Question 36

A person starting with $64$ cents and making $6$ bets, wins three times and loses three times, the wins and losses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:
  1. a loss of $27$¢
  2. a gain of $27$¢
  3. a loss of $37$¢
  4. neither a gain nor a loss
  5. a gain or a loss depending upon the order in which the wins and
    losses occur