Problem 7. A spyware tries to break into a system by trying at most 1 million combinations. What is the probability of it breaking in if the password is (a) a combination of 6 different lower-case letters (b) a combination of 6 different upper- and lower-case letters (case sensitive) (c) a combination of any 6 upper- and lower-case letters (case sensitive) (d) a combination of any 6 characters (letters and digits) Problem 8 Among the employees of a firm, 70% know Java, 60% know Python, and 50% know both languages. What is the probability that a. Someone knows Java, given that they know Python as well? b. Someone knows Python, given that they know Java as well?