  The problems of Hadamard quantum coin flipping in n-trials and related
generalized Fibonacci sequences of numbers were introduced in [1]. It was shown
that for an arbitrary number of repeated consecutive states, probabilities are
determined by Fibonacci numbers for duplicated states, Tribonacci numbers for
triplicated states and N-Bonacci numbers for arbitrary N-plicated states. In
the present paper we generalize these results for direct product of multiple
qubit states and arbitrary position of repeated states. The calculations are
based on structure of Fibonacci trees in space of qubit states, growing in the
left and in the right directions, and number of branches and allowed paths on
the trees. By using $n$-qubit quantum coins as random n-qubit states with
maximal Shannon entropy, we show that quantum probabilities can be calculated
by means of geometric probabilities. It illustrates possible application of
geometric probabilities in quantum information theory. The Golden ratio of
probabilities and the limit of n going to infinity are discussed.
