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Australian AMC 2018 - Intermediate Question 17

AMC AUSTRALIA · Australian AMC 2018 - Intermediate

Question 17

Allan and Zarwa are playing a game tossing a coin. Allan wins as soon as a head is tossed and Zarwa wins if two tails are tossed. The probability that Allan wins is
  1. $\frac12$
  2. $\frac35$
  3. $\frac58$
  4. $\frac23$
  5. $\frac34$