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2010 AMC 12B Question 18

AMC12 · 2010 AMC 12B

Question 18

A frog makes $3$ jumps, each exactly $1$ meter long. The directions of the jumps are chosen independently and at random. What is the probability that the frog’s final position is no more than $1$ meter from its starting position?
  1. $\dfrac{1}{6}$
  2. $\dfrac{1}{5}$
  3. $\dfrac{1}{4}$
  4. $\dfrac{1}{3}$
  5. $\dfrac{1}{2}$