A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be any digit including 0. None of the digits or letters can repeat.

1. What is the probability that a random password uses only vowels (A,E,I,O,U) and odd numbers (1,3,5,7,9)?Show work but do not evaluate.
2. What is theprobability that the password spells the word"MATH?"Show work but do not evaluate.