Learning Goal: I’m working on a discrete math exercise and need an explanation a

Learning Goal: I’m working on a discrete math exercise and need an explanation and answer to help me learn.A nine character long password is to be created using lower-case letters, fourspecial characters {!,@,#,$}and digits. For the password to be valid, it must contain atleast one lower-case letter, one of the given special characters and one digit. What is theprobability that a randomly generated nine character password is valid? Assume that thepassword is generated using only the lower-case letters, the given special characters anddigits.
Requirements: In depth with explanation

Learning Goal: I’m working on a discrete math exercise and need an explanation a

Learning Goal: I’m working on a discrete math exercise and need an explanation and answer to help me learn.A certain company owns two machines that send numbers 1, 2, or 3 each timethey they are activated. Machine A sends each of the three numbers with equal probability.Machine B sends 1’s with with 50% probability and 2’s and 3’s with 25% probability each.A machine is chosen at random and activated seven times sending 1,3,3,2,1,2,1. What isthe probability that the machine chosen was machine B?
Requirements: In depth answer with explanation   |   .doc file

Learning Goal: I’m working on a discrete math exercise and need an explanation a

Learning Goal: I’m working on a discrete math exercise and need an explanation and answer to help me learn.A certain company owns two machines that send numbers 1, 2, or 3 each timethey they are activated. Machine A sends each of the three numbers with equal probability.Machine B sends 1’s with with 50% probability and 2’s and 3’s with 25% probability each.A machine is chosen at random and activated seven times sending 1,3,3,2,1,2,1. What isthe probability that the machine chosen was machine B?
Requirements: In depth answer with explanation   |   .doc file

Learning Goal: I’m working on a discrete math exercise and need an explanation a

Learning Goal: I’m working on a discrete math exercise and need an explanation and answer to help me learn.A nine character long password is to be created using lower-case letters, fourspecial characters {!,@,#,$}and digits. For the password to be valid, it must contain atleast one lower-case letter, one of the given special characters and one digit. What is theprobability that a randomly generated nine character password is valid? Assume that thepassword is generated using only the lower-case letters, the given special characters anddigits.
Requirements: In depth with explanation