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2005 AMC 10B Question 9

AMC10 · 2005 AMC 10B

Question 9

One fair die has faces $1,$ $1,$ $2,$ $2,$ $3,$ $3$ and another has faces $4,$ $4,$ $5,$ $5,$ $6,$ $6.$ The dice are rolled and the numbers on the top faces are added. What is the probability that the sum will be odd?
  1. $\dfrac13$
  2. $\dfrac49$
  3. $\dfrac12$
  4. $\dfrac59$
  5. $\dfrac23$