A fair coin is tossed repeatedly. If the first head happened on an odd-numbered toss (i.e., toss #1,3,5,7,. . . etc.), what's the chance the 2nd head also occurs on an odd-numbered toss?

Hint: From a reduced sample space point of view, once we're told that the first head happened on an odd-numbered trial, the coin flipping can be though of starting anew except now the first trail after this first head will be an even-numbered trial.

explain it

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