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Australian AMC 2017 - Senior Question 1

AMC AUSTRALIA · Australian AMC 2017 - Senior

Question 1

Eight children in a swimming race are John, Iain, Hans, Ivan, Giovanni, Beth, Liz and Elisa. They are put in lanes 1 to 8 randomly. What is the probability that Beth, Liz or Elisa is in lane 1?

Question illustration
  1. $\frac38$
  2. $\frac12$
  3. $\frac35$
  4. $\frac53$
  5. $\frac13$