Suppose you have six accounts, each of which requires a password, and you choose distinct passwords for each account. a. If the probability that any given password is in Trudy's password dictionary is...

Suppose you have six accounts, each of which requires a password, and you choose distinct passwords for each account.

a. If the probability that any given password is in Trudy's password dictionary is 1/4, what is the probability that at least one of your passwords is in Trudy's dictionary?

b. If the probability that any one of your passwords is in Trudy's dictionary is reduced to 1/10, what is the probability that at least one of your passwords is in Trudy's dictionary?