(Solved): The captain of a ship that is in distress must randomly send a total of 6 identical blue light sign ...

The captain of a ship that is in distress must randomly send a total of 6 identical blue light signals, 5 identical red light signals and 6 different purple light signals ( \( \mathrm{P} 1, \mathrm{P} 2, \mathrm{P} 3, \mathrm{P} 4 \), P5 and P6). What is the probability that the signals will be sent in such a way that every purple signal is preceded by a signal that is not purple?