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

## 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.prove a –> ( b V c ) using contradiction method and combination of inference rules and equivalence laws from these premises : 1. a –> ( d V b ) 2. d –> c

Requirements: full answer | .doc file