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counting and probability senior

Problem

Flora the frog starts at 0 on the number line and makes a sequence of jumps to the right. In any one jump, independent of previous jumps, Flora leaps a positive integer distance with probability . What is the probability that Flora will eventually land at 10?
(A)
(B)
(C)
(D)
(E)
Solution
Initially, the probability of landing at and landing past (summing the infinte series) are exactly the same. Landing before 10 repeats this initial condition, with a different irrelevant scaling factor. Therefore, the probability must be .
Final answer
E