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The chances of black 14 times are 2^14 or 16384 (if you dont count the zero). But those odds are exactly the same as any other specific combination of 14, for example alternating black & red starting with black. The thing you need to remember (as handyandy pointed out), is any talk of 14...

Two points to bear in mind. First your chances on each go are 50:50, completely independantly of whatever happened in all previous turns. Second, as a result of the first point, it is quite common for runs of 10 or more reds in a row. Most people dont realise that in random sequences...