A space station has 5 cosmonauts on board at all times, of whom 3 are experienced, 2

Question

inexperienced. Occasionally some work must be done outside the space station. The
probability of being selected to carry out the work is twice as large for each individual
experienced cosmonaut as it is for each inexperienced cosmonaut. Experienced cosmonauts have a 10% chance of getting into difficulties whilst outside, inexperienced
cosmonauts 25%.
(i) Calculate the probability that the cosmonaut selected is an experienced one.