Question: Consider moving along 3 points on a straight line A,B and C. An athletic student X is trying to get to C starting from A.

Consider moving along 3 points on a straight line A,B and C. An athletic student X is trying to get to C starting from A. At any time step:

1. If currently at A, X jumps to B with probability 0.6 and stays at A with probability 0.4.

2. If currently at B, X jumps to C with probability 0.6 and returns to A with probability 0.4.

3. If at C, X jumps to B with probability 1.

Starting from A, find the expected time X takes to reach C for the first time.

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