Lance the Wizard Has Been Informed That Tomorrow There Will

Multiple Choice

Lance the Wizard has been informed that tomorrow there will be a 45% chance of encountering the evil Myrmidons and a 20% chance of meeting up with the dreadful Balrog. Moreover, Hugo the Elf has predicted that there is a 12% chance of encountering both tomorrow. What is the probability that Lance will be lucky tomorrow and encounter neither the Myrmidons nor the Balrog ?

A) 0.45
B) 0.36
C) 0.46
D) 0.52
E) 0.47