. What is theprobability that a randomly generated nine character password is valid?

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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.
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