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Australian AMC 2018 - Senior Question 17

AMC AUSTRALIA · Australian AMC 2018 - Senior

Question 17

Three fair 6-sided dice are thrown. What is the probability that the three numbers rolled are three consecutive numbers, in some order?
  1. $\frac16$
  2. $\frac19$
  3. $\frac1{27}$
  4. $\frac7{36}$
  5. $\frac1{54}$