Suppose you have 5 passwords that you use for all of your online accounts, but you do not rememberwhich password you chose for a particular website. You try them all at random. Find the PMF of thenumber of trials you need to guess the correct password, under the following alternative assumptions: a. After an unsuccessful trial, you eliminate the wrong password, never trying it again.
b. You are very forgetful and are equally likely to choose any password.