5.16 Thursday, Friday and Saturday are the busiest nights at the Jopper pub. Police records show that on 12 of the last 50 Thursdays, 15 of the last 50 Fridays, and 16 of the last 50 Saturdays they were summoned to deal with a disturbance at the pub. Construct a tree diagram and use it to find the probability that over the next Thursday, Friday and Saturday nights there will be:

(a) No trouble

(b) Trouble on Thursday only

(c) Trouble on one night only

(d) Trouble on Friday and Saturday only

(e) Trouble on two nights only Assume that events on any one night are independent of events on any other night.