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Australian AMC 2009 - Intermediate Question 16

AMC AUSTRALIA · Australian AMC 2009 - Intermediate

Question 16

Two dice are each numbered from 1 to 6, but are biased so that each is twice as likely to land on any of the even numbers as on any of the odd numbers. The two dice are rolled and the numbers multiplied together. What is the probability that the resulting product is odd?
  1. $\frac19$
  2. $\frac29$
  3. $\frac13$
  4. $\frac49$
  5. $\frac23$