Falling object with random pictures taken

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gibxam
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Suppose I drop a rock off a cliff at height h. As it falls, I snap a million photographs at random intervals. On each picture I measure the distance the rock has fallen. Ignoring air resistance:

x(t) = 1/2 g t^2
v(t) = g t

total flight time = T = Sqrt[ 2 h/g]

My confusion is that in this statement: "The probability that the camera flashes in the interval dt is dt/T" I don't see how or why this statement is true.
 
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That would be true if you snapped exactly ONE pic at a random time. Are you sure you understood the problem right?