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1995 AMC 12 Question 20

AMC12 · 1995 AMC 12

Question 20

If $a,$ $b$ and $c$ are three (not necessarily different) numbers chosen randomly and with replacement from the set $\{1,2,3,4,5\},$ the probability that $ab+c$ is even is
  1. $\frac25$
  2. $\frac{59}{125}$
  3. $\frac12$
  4. $\frac{64}{125}$
  5. $\frac35$