Question

when a night sets out on a quest he must choose a road to follow
3 out of every 5 nights take the high road the others take the low road
of the knights taking the high road 80% are successful the others fail
of the knights taking the low road 40% are successful the others fail


a knight is chosen at random what is the probability he will take the high road and succeed in his quest show your work or explain how you now

Answer 1

P(high road and succeed)=3/5 * 0.8